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[" The "sum(3times1^(3))/(1^(2))+(5times...

[" The "sum(3times1^(3))/(1^(2))+(5times(1^(3)+2^(3)))/(1^(2)+2^(2))+(7times(1^(3)+2^(3)+3^(3)))/(1^(2)+2^(2)+3^(2))+],[...." up to "10^(" th ")" term is "],[[" a) "660," b) "600," c) "620," d) "980]]

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The sum (3 xx 1^(3))/(1^(2)) + (5 xx (1^(3) + 2^(3)))/(1^(2) + 2^(2)) + (7 xx (1^(3) + 2^(3) + 3^(3)))/(1^(2) +2^(2) + 3^(2))... upto 10th term is

The sum (3 xx 1^(3))/(1^(2)) + (5 xx (1^(3) + 2^(3)))/(1^(2) + 2^(2)) + (7 xx (1^(3) + 2^(3) + 3^(3)))/(1^(2) + 2^(2) + 3^(2)) + ....

Let S=3+(5(1^(3)+2^(3)))/(1^(2)+2^(2))+(7(1^(3)+2^(3)+3^(3)))/(1^(2)+2^(2)+3^(2))+... then the sum up to 10 terms is

((2)/(7))^(3)times((1)/(2))^(3)

The sum up to 10 terms of the series (3 xx 1^(3))/(1^(2)) + (5 xx (1^(3) + 2^(3)))/(1^(2) + 2^(2)) + (7 xx (1^(3) + 2^(3) + 3^(3)))/(1^(2) + 2^(2) + 3^(2)) + ....

(2)/(5)times(-(3)/(7))-(1)/(6)times(3)/(2)+(1)/(14)times(2)/(5)

(2)/(5)times((-3)/(7))-(1)/(6)times(3)/(2)+(1)/(14)times(2)/(5)

(((-2)/(3))^(-2))^(3)times((1)/(3))^(-4)times3^(-1)times(1)/(6)

FIn dthe sum of this series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)+...+ till 10^(th) term ^(*)

(2)/(3)times(1)/(2)+(1)/(2)-(2)/(3)