Question

Please help with #1 above! Please include steps :)

Answer 1

2, -1, -5/2

Explanation:

The recursive formula is:
`$ a_(n) = (a_(n - 1))/(4) - 2 $`

Given:
`$ a_1 = 2 $`

Using the recursive formula, we can find the next terms.

`$ a_2 = (a_1)/(4) - 2 $`

`$ = (2)/(2) - 2 $`

`$ = 1 - 2 = -1 $`

∴
`$ a_2 = -1 $`

Now,
`$ a_3 = (a_2)/(4) - 2 $`

`$ = (-1)/(2) - 2 $`

`$ = (-1 - 4)/(2) $`

`$ (-5)/(2) $`

∴
`$ a_3= (-5)/(2) $`

Therefore, the first three terms are: 2, -1, 5/2.