Question

Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625, where the first term should be g(1). What is the explicit formula for this sequence?

a) g(n) = (-5)^n
b) g(n) = -5 * n^2
c) g(n) = -5 * 5^n
d) g(n) = -5 * (-5)^n

Answer 1

The explicit formula for the given sequence -5, -25, -125, -625 is g(n) = -5 * (-5)^n. This formula represents a geometric sequence with a common ratio of -5.

Step-by-step explanation:

The explicit formula for the given sequence -5, -25, -125, -625 is g(n) = -5 * (-5)^n. This formula represents a geometric sequence where each term is obtained by multiplying the previous term by a constant ratio. In this case, the common ratio is -5 because each term is obtained by multiplying the previous term by -5.