{"id":4465,"date":"2022-02-06T19:18:28","date_gmt":"2022-02-06T19:18:28","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4465"},"modified":"2022-03-01T17:29:00","modified_gmt":"2022-03-01T17:29:00","slug":"geometric-sequences","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/geometric-sequences\/","title":{"rendered":"Geometric Sequences"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Geometric Sequences<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A geometric progression or a geometric sequence is a sequence where every term bears a constant ratio to its preceding term. Geometric progression is a special type of sequence. In order to get the next term in the geometric progression, we have to multiply with a fixed term known as the common ratio, every time, and if we want to find the preceding term in the sequence, we just have to divide the term with the same common ratio.<\/p>\n<p>The geometric progressions can be a finite series or an infinite series. The common ratio of a geometric progression can be a negative or a positive integer. [\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. In an <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/arithmetic-sequences\">arithmetic sequence<\/a>, each term is found by adding the same number to the previous term.<br \/>\n2. In a <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/geometric-sequences\">geometric sequence<\/a>, each term is found by multiplying the same number to the previous term.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Find the missing number in the sequence.<br \/>\n<\/span><br \/>\n0.03, _______ , 0.12, 0. 24<\/strong><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]\n<p style=\"margin-bottom: 22px;\">Each term in the pattern is multiplied by 2.<\/p>\n<p><span style=\"color: red;\"><strong>0.03 x 2 = 0.06<\/strong><\/span><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Geometric Sequences[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 15px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Write the next 3 terms in the sequence.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/geometric-sequences\"><img loading=\"lazy\" class=\"alignnone wp-image-4467 size-full\" style=\"margin-top: 18px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-38.png\" alt=\"Geometric Sequence: Formula & Examples - Practice Problem 1\" width=\"296\" height=\"64\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/geometric-sequences”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 15px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Find the missing number in the sequence.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/geometric-sequences\"><img loading=\"lazy\" class=\"alignnone wp-image-4469 size-full\" style=\"margin-top: 14px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-28.png\" alt=\"Geometric Sequence: Formula & Examples - Practice Problem 2\" width=\"243\" height=\"46\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/geometric-sequences”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 15px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Jimmy is working on his homework during spring break. He started with one question per day and wants to triple the number of solved questions each day. <\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/geometric-sequences\"><img loading=\"lazy\" class=\"alignnone wp-image-4471 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/13-25.png\" alt=\"Geometric Sequence: Formula & Examples - Practice Problem 3\" width=\"296\" height=\"66\" \/><\/a><br \/>\n<strong><span style=\"color: #16a085;\">How many questions will he solve on the 4th day?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/geometric-sequences\"><img loading=\"lazy\" class=\"alignnone wp-image-4473 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-17.png\" alt=\"\" width=\"177\" height=\"44\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/geometric-sequences”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Algebraic Expression<\/strong> \u2013 an expression that contains variables, numbers, and at least one operation.<\/p>\n<p><strong>Term <\/strong>\u2013 each number in a sequence.<\/p>\n<p><strong>Arithmetic Sequence<\/strong> – each term is found by multiplying the same number to the previous term.<\/p>\n<p><strong>Geometric Sequence<\/strong> – each term is found by adding the same number to the previous term.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/evaluate-algebraic-expressions\"><span style=\"color: #ed5600;\">Evaluate Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/write-algebraic-expressions\"><span style=\"color: #ed5600;\">Write Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/arithmetic-sequences\"><span style=\"color: #ed5600;\">Arithmetic Sequences<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/input-output-table-find-a-rule-1\"><span style=\"color: #ed5600;\">Input – Output Table – Find a Rule<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/input-output-table-addition-and-subtraction-1\"><span style=\"color: #ed5600;\">Input – output table – Addition and Subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/input-output-table-multiplication-and-division\"><span style=\"color: #ed5600;\">Input – Output table – Multiplication and Division<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/Number%20Patterns\"><span style=\"color: #ed5600;\">Number Patterns<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635520079670{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><span style=\"color: #333399;\"><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/the-distributive-property\"><span style=\"color: #333399;\">The Distributive Property<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/simplifying-complex-algebraic-expressions\"><span style=\"color: #333399;\">Simplifying Complex Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-linear-expressions\"><span style=\"color: #333399;\">Add Linear Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/subtract-linear-expressions\"><span style=\"color: #333399;\">Subtract Linear Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/factor-linear-expressions\"><span style=\"color: #333399;\">Factor Linear Expressions<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ 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link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Ffunctions-and-equations|title:Functions%20and%20equations||”][vc_btn title=”Subtraction” color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fsubtraction|title:Subtraction||”][vc_btn title=”Word Problems” color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fword-problems|title:Word%20Problems||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section][vc_row][vc_column][vc_column_text]<\/span>[\/vc_column_text][\/vc_column][\/vc_row]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Geometric Sequences [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A geometric progression or a geometric sequence is a sequence where every term bears a constant ratio to its preceding term. Geometric progression is a special type of sequence. […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Geometric Sequences | Oryx Learning<\/title>\n<meta name=\"description\" content=\"A geometric progression or a geometric sequence is a sequence where every term bears a constant ratio to its preceding term. Geometric progression is a special type of sequence. 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