I will give brainliest to whoever answers it correctly An arithmetic sequence is represented by the explicit formula A(n) = 8 - 6(n - 1) What is the recursive formula? Group of answer choices

A(1) = -4A(n) = A(n - 1) - 6

Step-by-step explanation:

GivenAP with the explicit formula A(n) = 8 - 6(n - 1)To find Recursive formulaSolution

Recursive formula is the formula A(n) = A(n - 1) + d

Based on the explicit formula we have:

A(n) = 8 - 6(n - 1) = 8 - 6n + 6 = 2 - 6nA(n - 1) = 2 - 6( n - 1) = 2 - 6n + 6 = 8 - 6n

The common difference is:

d  = A(n) - A(n - 1) = 2 - 6n - (8 - 6n) = 2 - 6n - 8 + 6n = - 6

The first term is:

A(1) = 2 - 6(1) = 2 - 6 = -4

So the recursive formula is:

A(1) = -4A(n) = A(n - 1) - 6

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