`2.3+3.4+4.5+............n` terms =

3.6+4.7+5.8+.....+(n-2) terms =

Find the sum of 2.3+3.4+4.5+......to n terms.

If S=(4)/(1.2.3)+(5)/(2.3.4)+(6)/(3.4.5)+(7)/(4.5.6)......... up to 'n' terms & S=K-((2n+5))/(2(n+1)(n+2)), Then K =?

Using the principle of finite Mathematical Indcution prove that 2.3 + 3.4 + 4.5 + ……."upto n terms" = (n(n^(2)+6n+11))/(3) .

Find sum the series (n)/(1.2*3)+(n-1)/(2.3*4)+(n-2)/(3.4*5)+......... up to n terms..-

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