What are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of −12? an = 4(−3)n − 1; all integers where n ≥ 1 an = 4(−3)n − 1; all integers where n ≥ 0 an = 4(36)n − 1; all integers where n ≥ 1 an = 4(36)n − 1; all integers where n ≥ 0
Accepted Solution
A:
The geometric sequence is given by: an=ar^(n-1) where: a=first term r=common ratio n is the nth term given that a=4, and second term is -12, then r=-12/4=-3 hence the formula for this case will be: an=4(-3)^(n-1) where n≥1