SOLUTION: Consider the following: a1 = 2, r = sqrt 3, 13th term (a) Find the indicated term of the geometric sequence using the table feature of a graphing utility. a13= (b) Find t

Algebra ->  Trigonometry-basics -> SOLUTION: Consider the following: a1 = 2, r = sqrt 3, 13th term (a) Find the indicated term of the geometric sequence using the table feature of a graphing utility. a13= (b) Find t      Log On


   

Question 1178527: Consider the following:
a1 = 2, r = sqrt 3, 13th term
(a) Find the indicated term of the geometric sequence using the table feature of a graphing utility.
a13=
(b) Find the indicated term of the geometric sequence algebraically.
a13=
Answer by MathLover1(20849) About Me  (Show Source):
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(b) Find the indicated term of the geometric sequence algebraically.
a13=
(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+=+2
r+=+sqrt%283%29
nth term:
a%5Bn%5D+=+2%2A%28sqrt%283%29%29%5E%28n-1%29

table
n|2%2A%28sqrt%283%29%29%5E%28n-1%29
1|+2
2|+3.64
3|6
4|10.4+
5|18
6|31.2
7|54
8|93.5
9|162
10|280.6
11|486
12|841.8
13|1458

a%5B13%5D=1458

(b) Find the indicated term of the geometric sequence algebraically.
a%5B13%5D+=+2%2A%28sqrt%283%29%29%5E%2813-1%29
a%5B13%5D+=+2%2A%28sqrt%283%29%29%5E12
a%5B13%5D+=+2%2A729
a%5B13%5D+=+1458