SOLUTION: What terms are missing from the geometric sequence below? A)_____, -11 , 22,_____, 88 , -176 B) Write a recursive equation for x n + 1.. x n + 1 = _____• x n

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Question 1131532: What terms are missing from the geometric sequence below?
A)_____, -11 , 22,_____, 88 , -176
B) Write a recursive equation for x n + 1..
x n + 1 = _____• x n
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The general term of a geometric sequence is given by the formula:

x%5Bn%5D=x%5B1%5D%2Ar%5E%28n-1%29
you have terms:
x%5B2%5D=-11
x%5B3%5D=22
=>r=22%2F-11=-2
then
-11=x%5B1%5D%2Ar
-11=x%5B1%5D%2A%28-2%29
x%5B1%5D=-11%2F-2
x%5B1%5D=11%2F2-> first missing term
since
x%5B3%5D=22
x%5B4%5D=x%5B3%5D%2Ar=22%28-2%29=-44
11%2F2, -11 , 22,-44, 88 , -176,...
B) a recursive equation is:
x%5Bn%5D=%2811%2F2%29%2A%28-2%29%5E%28n-1%29