Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.

Question

an = 4(3)n

Answer 1

To find the first four terms of the sequence defined by an = 4(3)n, we substitute the values of n from 1 to 4 into the formula:

a1 = 4(3)^1 = 4(3) = 12
a2 = 4(3)^2 = 4(9) = 36
a3 = 4(3)^3 = 4(27) = 108
a4 = 4(3)^4 = 4(81) = 324

The first four terms of the sequence are 12, 36, 108, and 324.