A sequence is defined by the recursive function f(n + 1) =1/3 f(n). If f(3) = 9 , what is f(1) ?
1
3
27
81

A sequence is defined by the recursive function then f(1) is 81

Solution:

Given that,

A sequence is defined by the recursive function:

------ eqn 1

Given that,

Substitute n = 2 in eqn 1

Substitute n = 1 in eqn 1

Thus f(1) is 81

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