Asequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . if the first term of the sequence is 120, what is f(5)? i need answer as soon as possible!

ANSWER

EXPLANATION

The recursive definition is

.

Since the first term of the sequence is given to us, we need to plug in .

This implies that;

.

But we were  given that, .

This implies that;

Since we now know that , we again plug in in to the recursive definition.

.

We plug in to the formula again to determine the 4th term.

.

.

We finally find the 5th term by substituting .

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