The explicit formula of an arithmetic sequence is f(n)=5+12(n-1)f(n)=5+12(n−1)f, left parenthesis, n, right parenthesis, equals,

Question

2 years ago

14

5, plus, 12, left parenthesis, n, minus, 1, right parenthesis.

1 answer:

Serga [27] · Answer 1 · 2024-01-05T05:28:19+03:00

The recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5

<h3>How to determine the recursive formula?</h3>

The explicit formula of the arithmetic sequence is given as;

f(n) = 5 + 12(n - 1)

Open the bracket

f(n) = 5 + 12n - 12

Evaluate the like terms

f(n)= 12n - 7

Calculate f(1) and f(2)

f(1)= 12(1) - 7= 5

f(2)= 12(2) - 7= 17

The difference between f(1) and f(2) is 12

Hence, the recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5