SOLUTION: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. ( an = a1

Algebra ->  Sequences-and-series -> SOLUTION: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. ( an = a1      Log On


   

Question 1181057: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. ( an = a1 r n-1 )
Find a6 when a1 = 9, r = -2.
a. -32
b. 288
c. -288
d. 576
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a%5Bn%5D+=+a%5B1%5D%2A+r%5E%28n-1%29

Find a%5B6%5D when a%5B1%5D+=+9, r+=+-2.
a%5B6%5D+=+9%2A+%28-2%29%5E%286-1%29
a%5B6%5D+=+9%2A+%28-2%29%5E5
a%5B6%5D+=+9%2A+%28-32%29
a%5B6%5D+=+-288

answer: c. -288