The sum of the first five terms of the series `3 +4 1/2+6 3/4+...=`

Using progression, find the sum of first five terms of the series 1+2/3+4/9+…..

Find the sum of first n terms of the series 1.3 + 2.5 + 3.7 + 4.9 +…..

Find the sum of the first n terms of the series 1/(sqrt(2) + sqrt(3)) + 1/(sqrt(3) + sqrt(4)) +...

The sum of the first 35 terms of the series (1)/(2) + (1)/(3) -(1)/(4) -(1)/(2) -(1)/(3) +(1)/(4) +(1)/(2) + (1)/(3) -(1)/(4)

S is the sum of the first 20 terms of the series 3+4+6+9+13... The value of S is

The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15)/(16)+.... is equal to

The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15)/(16)+.... is equal to