Jocelyn Bernard

Jocelyn Bernard

Answered

2022-10-03

A geometric sequence is defined recursively by a n = 5 a n - 1 , the first term of the sequence is 0.45. What is the explicit formula for the nth?

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antidootnw

antidootnw

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2022-10-04Added 10 answers

In a geometric series { a , a r , a r 2 , a r 3 , ... . . } , a is first term and ratio is r, n t h term is given by a r n - 1 . Note r = a m a m - 1 or a m = r a m - 1
As a n = 5 a n - 1 , r=5 and first term a=0.45
Hence, n t h term is given by 0.45 × 5 n - 1

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