Question

Can someone help me with these questions

Answer 1

The answer is below

Explanation:

The nth term of a geometric sequence is given as:

`a_n=ar^(n-1)\\\\where\ a=first\ term,a_n=nth\ term, r=common\ ratio=(a_n)/(a_(n-1))`

9)

a = -4, r = 12 / -4 = -3

10)

a = -2, r = -8 / -2 = 4

`a_(8)=-2*(4)^(8-1)=-2*(4)^(7)=-32768`

11)

a = -1, r = -5

`a_(9)=-1*(-5)^(9-1)=-1*(-5)^(8)=-390625`

12)

a = -1, r = -2

`a_(12)=-1*(-2)^(12-1)=-1*(-2)^(11)=2048`