Question

Please help me in these 2 questions ASAP! Thanks a lot!

Answer 1

see explanation

Explanation:

12

The explicit formula for a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

Here a₁ = - 1 and r =
`(a_(2) )/(a_(1) )` =
`(-5)/(-1)` = 5 , then

`a_(n)` = -
`5^(n-1)`

13

Using the explicit formula for a geometric sequence

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

Here a₁ = - 48 and r =
`(a_(2) )/(a_(1) )` =
`(96)/(-48)` = - 2 , then

a₁₀ = - 48 ×
`(-2)^(9)` = - 48 × - 512 = 24576