Question

Identify the explicit formula for the sequence given by the recursive formula f(n)={(f(1)=30),(f(n)=f(n-1)-8 if n>1):}

Answer 1

The explicit formula for the given sequence is f(n) = 30 - 8(n-1).

Step-by-step explanation:

The explicit formula for the sequence given by the recursive formula f(n) = {f(1) = 30, f(n) = f(n-1) - 8 if n > 1} can be determined by analyzing the pattern of the sequence.

From the given recursive formula, we can see that each term in the sequence is obtained by subtracting 8 from the previous term.

Therefore, the explicit formula for this sequence is f(n) = 30 - 8(n-1).