Determine whether the sequence converges or diverges. If it converges, give the limit.
1 answer:
Answer:
Converges; 51 3/7
Step-by-step explanation:
The common ratio is -10/60 = (5/3)/-10 = (-5/18)/(5/3) = -1/6.
Then the sum of the sequence is given by ...
S = a1/(1 -r) = 60/(1 -(-1/6))
S = 60/(7/6) = 360/7
S = 51 3/7
_____
If you erroneously evaluate the formula for the sum using +1/6 as the common ratio, then you will get S=60/(1-1/6) = 60·6/5 = 72.
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