SOLUTION: 1+5+14+30+55........ Find sum to n terms.

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Question 954448: 1+5+14+30+55........
Find sum to n terms.

Answer by hemu_da(13)   (Show Source): You can put this solution on YOUR website!
It is the series of sum of the first terms..
We know that....
Sum of first n term is
Sum of the square of the first n term is

Sum of the cube of the first n numbers is
Given that..


Or
.
We can write this series also as--- sum= .
.
Sum=
.
Sum=
.
Sum=
.
Sum=
.
Sum=
.
Sum=
.
Sum=
.
Sum=
.
Sum= .... Ans..
.
.
To varify this formula lets take n=4...
.
.
Sum=
.
.
Sum=
.
.
Sum= 50.
.
.
In the series... Sum of first 4 terms= 1+5+14+30 = 50..
.
Which is equal to the our calculated Ans....

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