- 5 + 3(b + 9b - 5) + 9b ^2

This looks like a quadratic root problem on first glance, lets simplify it.

Distribute the 3.

-5 + 3b + 27b - 15 + 9b^2

Simplify like terms of b.

-5 + 30b - 15 + 9b^2

Simplify constants

30b - 20 + 9b^2

Rearrange it so its easier to tell

9b^2 + 30b - 20

Now solve for the roots,

which gets you x = .5694 & x= -3.902

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: