Question

The first term of a geometric sequence is -10 and the common ratio is 4 what is the fifth term of the sequence

Answer 1

Answer:

a(5) = -2560

Step-by-step explanation:

The general form of the equation of a geometric series is

a(n) = a(1)*(r)^(n-1),

where a(1) is the first term, r is the common ratio.

Here, a(1) = -10 and r = 4, so

a(n) = -10(4)^(n-1).

The fifth term of this sequence is a(5) = -10(4)^(5-1), or

a(5) = -10(4)^(4), or a(5) = -10(4)^4 = -2560