Question

Question in attachment

Answer 1

a₁ = 6

Explanation:

The sum to n terms of a geometric sequence is

`S_(n)` =
`(a_(1)(r^(n)-1) )/(r-1)`

where a₁ is the first term and r the common ratio

Here
`S_(8)` = 1530 and r = 2, thus

`(a_(1)(2^(8)-1) )/(2-1)` = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6