1/26/2024 0 Comments Find sum of geometric sequenceWhen r = 1, and the first term of a geometric sequence is 'a' then its sum is a.If r > 1, then the terms are in ascending order.In a geometric sequence, every term is obtained by multiplying its previous term by a constant (r, which is called the common ratio).The sum of an infinite arithmetic sequence always diverges. The sum of an infinite geometric sequence may converge or diverge. In this, the difference of every two successive terms is equal to the same number. In this, the ratio between every two successive terms is equal to the same number. It is determined by the first term and the common difference. It is determined by the first term and the common ratio. Here are a few differences between geometric sequence and arithmetic sequence shown in the table below: Geometric Sequence So by the recursive formula of a geometric sequence, the n th term of a geometric sequence is,Įxample: Find a 15 of a geometric sequence if a 1 3 = -8 and r = 1/3.īy the recursive formula of geometric sequence, We know that in a geometric sequence, a term (a n) is obtained by multiplying its previous term (a n - 1) by the common ratio (r). There is another formula used to find the n th term of a geometric sequence given its previous term and the common ratio which is called the recursive formula of the geometric sequence.
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