Question

Represent the arithmetic series using the recursive formula. 94, 81, 68, 55, …

f(n) = f(n − 1) + (13)
f(n) = f(n − 1) + (−13)
f(n) = f(1) + (13)
f(n) = f(1) + (−13)

Answer 1

f(n)=f(n-1)=(-13)

Explanation:

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Answer 2

`f(n) = f(n - 1) - 13`

Explanation:

The given sequence is 94, 81, 68, 55, …

We can observe that, there is a constant difference among the subsequent terms:

`d = 81 - 94 = - 13`

The sequence is therefore an arithmetic sequence with first term:

`f(1) = 94`

The recursive formula is given by;

`f(n) = f(n - 1) + d`

We just have to plug in d=-13 to get:

`f(n) = f(n - 1) - 13`