Question

Question 13 (Essay Worth 8 points)

Answer 1

9514 1404 393

Answer:

  geometric sequence

Step-by-step explanation:

The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...

  an = 3(-4)^(n-1)

so the sum can be written as ...

  $\displaystyle\sum_{n=0}^\infty3(-4)^n$

(Note the summation starts at n=0, corresponding to a first term of 3.)