How do you find a formula of the nth term for this sequence: 8/9,1,9/8,81/64?

1 Answer
Feb 18, 2016

Answer:

The nth term of the given series is #(9/8)^(n-2)#

Explanation:

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)#