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what is the formula for a geometric sequence. Here is the recursive rule. S_n frac a_1 1- rn1-r for r 1.
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Displaystyle S_ nfrac a_ 1left 1- r nright 1-rtext rne text 1 S. The following series is geometric. Let us say we were given this geometric sequence.
Convert the factors in exponential raised to power form.
A What is r for this series. The general formula for determining the sum of a geometric series is given by. Sn a1rn 1 r where r 1 S n a 1 r n 1 r where r 1 This formula is easier to use when r 1 r 1. Xn 10 3n-1 So the 4th term is.
