" 9."1.2+2.3+3.4+......" to "n" terms."

Find the sum of the following series : 1.2+2.3+3.4+ .... to n terms .

Find sum of series 1.2+2.3+3.4.... upto n terms

By method of induction, prove that 1.6 + 2.9 + 3.12 +... +to n terms = n(n +1 )(n+2) for all n in N .

"The sum of the series, 1/ 2.3 ⋅ 2 + 2/ 3.4 ⋅ 2^ 2 + 3/ 4.5 ⋅ 2^ 3 + ... ... . . to n terms is

1/(1.2)+1/(2.3)+1/(3.4)+... to n terms

If (1.2+2.3+3.4+cdots "to n terms")/(1+2+3+cdots "to n terms") =6 find n.

{:("If",a = 1 + 2 + 4 + ..."to n terms"),(,b = 1 + 3 + 9 + ..."to n terms"),(,c =1 + 5 + 25+ ..."to n terms"):} then |(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))|=

{:("If",a = 1 + 2 + 4 + ..."to n terms"),(,b = 1 + 3 + 9 + ..."to n terms"),(,c =1 + 5 + 25+ ..."to n terms"):} then |(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))|=

{:("If",a = 1 + 2 + 4 + ..."to n terms"),(,b = 1 + 3 + 9 + ..."to n terms"),(,c =1 + 5 + 25+ ..."to n terms"):} then |(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))|=