![]() ![]() This is an arithmetic series since the difference between any two successive pairs of numbers is 2. The first is the formula for the sum of an infinite geometric series. Sort by: Top Voted Questions Tips & Thanks Want to join the conversation Beth C 9 years ago At 2:00 mins and after, I understand what you did, I don't understand why. ![]() It is called the arithmetic series formula. You will get to learn about the arithmetic progression formula, geometric progression formula, sum of arithmetic progression, geometric progression sum, and other interesting facts around the topic. ![]() For instance, let's consider the following series of the first 10 odd numbers:ฤก + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 \footnotesize 1\! +\! 3\! +\! 5\! +\! 7\! +\! 9\! +\! 11\! +\! 13\! +\! 15\! +\! 17\! +\! 19 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 Two formulas to calculate the sum of the first n terms of an arithmetic series will be developed and then applied in a variety of settings. An arithmetic-geometric progression (AGP) is a progression in which each term can be represented as the product of the terms of an arithmetic progressions. 1 r n 1 to write an equation for the nth term of the geometric series. Learn about Geometric Series in this free math study guide. The sum of the first n terms in an arithmetic sequence is (n/2) (a+a). ![]()
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