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[" Find the sum to "n" terms of each of the series in Exercises "1" to "7" ."],[" 1."1times2+2times3+3times4+4times5+...],[" 2."1times2times3+2times3times],[" 3."3times1^(2)+5times2^(2)+7times3^(2)+...," 4."(1)/(1times2)+(1)/(2times3)+(1)/(3times4)],[" 5."5^(2)+6^(2)+7^(2)+...+20^(2)],[" 7."1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)+3^(2))+...]

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5(1)/(7)times3(2)/(4)

Find the sum to n terms of the series 1times2+2times3+3times4+…

1 times 2times3+2 times 3times4+3 times 4times5+.... =?

1 times 2times3+2 times 3times4+3 times 4times5+.... =?

[(1)/(1times2)+(1)/(2times3)+(1)/(3times4)+......+(1)/(99times100)] =

(5)/(4)times(2)/(6)+(3)/(2)times(2)/(1)+(3)/(6)times(3)/(2)

Find the sum to n terms of the series 1 xx 2+2 xx 3+3 xx 4+4 xx 5 dot+

Find the sum to n terms of this series. 1times2^2+2times3^2+3times4^2+…….

(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)