SOLUTION: Consider the following: a1 = − 1/128, r = 2, 12th term (a) Find the indicated term of the geometric sequence using the table feature of a graphing utility. (Round your answer

Algebra ->  Trigonometry-basics -> SOLUTION: Consider the following: a1 = − 1/128, r = 2, 12th term (a) Find the indicated term of the geometric sequence using the table feature of a graphing utility. (Round your answer      Log On


   

Question 1178528: Consider the following:
a1 = − 1/128, r = 2, 12th term
(a) Find the indicated term of the geometric sequence using the table feature of a graphing utility. (Round your answer to the nearest whole number.)
a12=
(b) Find the indicated term of the geometric sequence algebraically.
a12=
Answer by MathLover1(20850) About Me  (Show Source):
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(a) Find the indicated term of the geometric sequence using the table feature of a graphing utility. (Round your answer to the nearest whole number.)

a%5B1%5D+=+-%281%2F128%29
r+=+2
nth term:
a%5Bn%5D+=+-%281%2F128%29%2A2%5E%28n-1%29

table
n|+-%281%2F128%29%2A2%5E%28n-1%29
1|+-1%2F128
2|+-1%2F64
3|-1%2F32
4|-1%2F16+
5|-1%2F8
6|-1%2F4
7|-1%2F2
8|-1
9|-2
10|-4
11|-8
12|-16

a%5B12%5D=-16

(b) Find the indicated term of the geometric sequence algebraically.
a%5B12%5D+=+-%281%2F128%29%2A2%5E%2812-1%29
a%5B12%5D+=+-%281%2F128%29%2A2%5E11
a%5B12%5D+=+-%281%2F128%29%2A2048
a%5B12%5D+=+-2048%2F128
a%5B12%5D+=+-16