WebA geometric sequence is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number. It is represented by the formula a_n = … WebSo, we have, a = 3, r = 2 and n = 7. Now, we have learnt that for a geometric sequence with the first term ‘ a ‘ and common ratio ‘ r ‘ , the sum of n terms is given by. S n = a [ r …

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Weba is the first term, and; d is the difference between the terms (called the "common difference") And we can make the rule: x n = a + d(n-1) (We use "n-1" because d is not used in the 1st term). Geometric Sequences. In a Geometric Sequence each term is found by multiplying the previous term by a constant. WebIn General we write a Geometric Sequence like this: {a, ar, ar 2, ar 3, ... } where: a is the first term, and r is the factor between the terms (called the "common ratio") Example: … can i hook up a monitor to my laptop

Solved The sum of an infinite geometric series is 12 , if - Chegg

WebFeb 4, 2024 · Sorted by: 1. a n = 1 + 1 2 + 1 4 + ⋯ + 1 2 n, so each term in the sequence ( a n) is the sum of the first n + 1 terms of a geometric series. Using the formula for the sum of the first n + 1 terms of a geometric series, a … WebQuestion: In a geometric sequence, the first term is 4 and the common ratio is -3 . The fifth term of this sequence is WebWhen you multiply ar^ (n-1) and -r together the first thing you can do is distribute the negative sign, which gives you -ar^ (n-1) * r. The variable r can also be expressed as r^1. So you get -ar^ (n-1) * r^1. Next you can pull out the -a which gives you (-a) (r^ (n-1)) * r^1. Then you can simplify and get (-a) (r^ (n-1+1)). can i hook up an extra monitor to my laptop