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what is the formula of finite geometric sequence. N the nth term. For a geometric sequence a n a 1 r n-1 the sum of the first n terms is S n a 1.
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R is the constant ratio. 1 Sn rSn a 0 0 arn Sn rSn aarn Sn1r a1rn Sn a1rn 1 r where r 1 S n a a r a r 2 a r n 2 a r n 1. Complex geometric series coefficient a 1 and common ratio r 05 e io 0 t converging to a circleIn the animation each term of the geometric series is drawn as a vector twice.
The general formula for the nth term of a geometric sequence is.
Find the common ratio if the fourth term in geometric series is frac43 and the eighth term is frac64243. T n a r n 1. In this video Sal gives a pretty neat justification as to why the formula works. T n is the n th term of the sequence.
