2 years ago

Question 13 (Essay Worth 8 points)

Mathematics

1 answer:

mixer [17]2 years ago

3 0

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.)

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(3^2)^-2
9
9^-2 = 1/9^2 ---> 1/81
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