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.
an = 4(3)n
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.
To find the first four terms of the sequence, we substitute the values of n starting from 1 into the equation.
When n = 1:
a1 = 4(3)^1 = 4(3) = 12
When n = 2:
a2 = 4(3)^2 = 4(9) = 36
When n = 3:
a3 = 4(3)^3 = 4(27) = 108
When n = 4:
a4 = 4(3)^4 = 4(81) = 324
The first four terms of the sequence are 12, 36, 108, and 324.