SOLUTION: The first term of geometric progression is 300 and the fourth term is -8/5. Find the common ratio and the sum to infinity.

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Question 1187227: The first term of geometric progression is 300 and the fourth term is -8/5. Find the common ratio and the sum to infinity.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the ratio is the cube root of (-1.6/300), since this is a geometric series.
that is -0.1747
sum=a/(1-r)
=300/1.1747
=255.38 sum at infinity.
terms
300
52.41 minus (247.59)
9.16 (256.75)
1.60 minus (255.15)
0.28 255.43
0.05 minus (257.38)