Question

"Fill in the blanks for the recursive formula. 0.5, 1, 2, 4

An = An-1
A1 = ?"

Answer 1

The recursive formula for the given sequence is An = 2 * An-1. The first term, A1, is equal to 1.

Step-by-step explanation:

The recursive formula for the given sequence 0.5, 1, 2, 4 can be found by observing the pattern. Each term is obtained by multiplying the previous term by 2. So, if we denote the nth term as An, the recursive formula is:

An = 2 * An-1

To find the value of the first term, A1, we can substitute n = 1 into the recursive formula:

A1 = 2 * A1-1 = 2 * A0 = 2 * 0.5 = 1