Question

Question in attachment

Answer 1

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

$S_{n}$ = $\frac{a_{1}(r^{n}-1) }{r-1}$

where a₁ is the first term and r the common ratio

Here $S_{8}$ = 1530 and r = 2, thus

$\frac{a_{1}(2^{8}-1) }{2-1}$ = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6