find the sum of the series if they are in G.P. 128, -96, 72, .......... to 11 terms.
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Answered by
8
Answer:
ANSWER
Let a,ar,ar
2
,ar
3
be 4 terms
Sum of Extreme a+ar
3
=112
sum of Middle ar+ar
2
=48
⟹
r+r
2
1+r
3
=
3
7
⟹3r
3
−7r
2
−7r+3=0
⟹r=3,−1,
3
1
where −1 doesnot fit to solution..
Let r=3
a(3)+a(3)
2
=48⟹a=4
so the 4 terms are 4,12,36,108
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