Question

Please help!
Put the first three terms of the sequence modeled by the recursive function $\alpha n=\frac{1}{2}\alpha n-1$when a1=1, in order.
⇅1. 1
⇅2. 1/2
⇅3. 1/4

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula

$a_{n}$ = $\frac{1}{2}$$a_{n-1}$ with a₁ = 1, then

a₂ = $\frac{1}{2}$ a₁ = $\frac{1}{2}$ × 1 = $\frac{1}{2}$

a₃ = $\frac{1}{2}$ a₂ = $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$