Question

Please help!

Put the first three terms of the sequence modeled by the recursive function
`\alpha n=(1)/(2)\alpha n-1`when a1=1, in order.
⇅1. 1
⇅2. 1/2
⇅3. 1/4

Answer 1

see explanation

Explanation:

Given the recursive formula

`a_(n)` =
`(1)/(2)`
`a_(n-1)` with a₁ = 1, then

a₂ =
`(1)/(2)` a₁ =
`(1)/(2)` × 1 =
`(1)/(2)`

a₃ =
`(1)/(2)` a₂ =
`(1)/(2)` ×
`(1)/(2)` =
`(1)/(4)`