SOLUTION: What are the first four terms of the following sequence: an = (-3)^n for n ≥ 1?
A) 0, -3, 18, -81
B) -3, 18, -81, 324
C) 3, 18, 81, 324
D) 18, -81, 324, -1215
Algebra ->
Sequences-and-series
-> SOLUTION: What are the first four terms of the following sequence: an = (-3)^n for n ≥ 1?
A) 0, -3, 18, -81
B) -3, 18, -81, 324
C) 3, 18, 81, 324
D) 18, -81, 324, -1215
Log On
Question 1082980: What are the first four terms of the following sequence: an = (-3)^n for n ≥ 1?
A) 0, -3, 18, -81
B) -3, 18, -81, 324
C) 3, 18, 81, 324
D) 18, -81, 324, -1215 Answer by Edwin McCravy(20056) (Show Source):
We begin by plugging in 1 for n:
<-- so the only possible correct choice
so far is C, for none of the others have 1st term -3
But to make sure, let's plug in 2 for n:
Uh oh! Something's wrong! The second term has to be 9, and
none of the choices have 2nd term 9.
Let's see what the correct answer would have to be.
Let's plug in 3 for n:
Let's plug in 4 for n:
So the correct answer is
-3, 9, -27, 81
So it's none of those listed.
Edwin