What are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of −8? an = 4(−2)n − 1; all integers where n ≥ 0 an = 4(−2)n − 1; all integers where n ≥ 1 an = 4(−12)n − 1; all integers where n ≥ 1 an = 4(−12)n − 1; all integers where n ≥ 0

Option B is right

Step-by-step explanation:

Given:

There is a geometric sequence with first term =4

and second term =-8

We know that a geometric sequence is a sequence of numbers, in which each successive number is got by multiplying the previous number by a fixed value called common ratio.

First term is called a.

and common ratio is denoted by r.

The terms would be

Here we have a=4 and ar =-8

So r =common ratio =-2

nth term we mean n can take values as 1,2.....

So general term

is right answer

Hence option b.

x^3 is a product of three factors of x: x * x * x.

x^7 is a product of seven factors of x: x * x * x * x * x * x

When you multiply x^3 by x^7, you end up with a product of 10 factors of x:

x * x * x * x * x * x * x * x * x * x

A product of ten factors of x is x^10.