Find a formula of the nth term for this sequence: 8/9,1,9/8,81/64

Jairo Hodges

Jairo Hodges

Answered question

2022-11-04

Find a formula of the nth term for this sequence: 8/9,1,9/8,81/64

Answer & Explanation

reinleikcyo

reinleikcyo

Beginner2022-11-05Added 11 answers

In the sequence: { 8 9 , 1 , 9 8 , 81 64 , ... ... ... } the ratio of a term to its preceding term is 9 8 , Hence it is a geometric sequence.
In a geometric sequence, if a is the first term and ratio of a term with its preceding term is r, nth term is given by a . r n - 1
Hence nth term of the given series is ( 8 9 ) ( 9 8 ) n - 1 or ( 9 8 ) n - 2

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