SOLUTION: the sum of first 4 terms of Geometric progression is 7.5 if the sum of middle two terms is 3 find the terms of gp
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Question 773910: the sum of first 4 terms of Geometric progression is 7.5 if the sum of middle two terms is 3 find the terms of gp
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Q:
the sum of first 4 terms of Geometric progression is 7.5 if the sum of middle two terms is 3 find the terms of gp
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A:
Let x = first term
and r = common ratio
Therefore, rx = second term
= third term
= fourth term
= 7.5
= 7.5
= 7.5
= 7.5
The sum of the middle two terms is
= 3 ---> rx(1 + r) = 3 ---> x =
= 7.5
= 7.5
=
(2r - 1)(r - 1) = 0
r = or r = 1, disregard r = 1
If r = 1/2, then x = = 4
The first term is 4, to get the next term, multiply by the common ratio 1/2.
The first 4 terms are , , , and .
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