Question

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

Answer 1

@mathmale

Answer 2

I put B because 4 x -2 = -8

Answer 3

In a geom. sequence, we have a first term and a couple of the following terms. The following terms all have the format "preceding term, times the common ratio." Your job here is to find the common ratio. Show your work.

Answer 4

Please note: This problem might be clearer for you as well as for potential helpers if you'd please use the " ^ " symbol to denote "exponentiation:"

an = 4(−12)n − 1; all integers where n ≥ 0 wrong
an = 4(−12)^(n − 1); all integers where n ≥ 0 right, but ONLY if you use parentheses

Answer 5

Question #1: What is the first term of this geometric sequence?

Question #2: What is the common ratio, r? r is the multiplier which, when applied to the first term, produces the given second term. Show your work.