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Given
⇒
Consider
Clearly above series is a G.P. with common ratio 10 and first term 10
Sum of n terms of G.P. =
So
Given series
We know ………[i]
Putting and n=20 in equ[i] , we get
Adding both the sides
comparing given series with
We get, ........(i)
And, .......(ii)
Dividing (ii) by the square of (i), we get
Putting, in eq (i), we get
Put the value of in , we get
Sum of the series =
Let y=
We know that
Put x=1,
first number is multiplied by 1.5 à 6*1.5=9.
The latter numbers are multiplied by increasing 0.5 to the previous multiplier.
6*1.5 =9
9*2=18
18*2.5=45
45*3=135
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