`(1)/(1+(1)/(2+(1)/(3)))=`

(4^(-1)-3^(-1))^(-1)+(2^(-1)-3^(-1))^(-1)=((1)/(4)-(1)/(3))^(-1)+((1)/(2)-(1)/(3))^(-1)

(7)/(11)-"[1 (1)/(2)-[(1)/(2)+(1(3)/(4)-(1)/(2)+(1)/(3))]]

Simplify : 8 (1)/(2)-[3 (1)/(4)-:{1(1)/(4) - (1)/(2) ( 1 (1)/(2)-(1)/(3)-(1)/(6))}]

Find the sum: 1 + (1)/(2) (1 + 2) + (1)/(3) (1 + 2 + 3) + ……up to 16 terms.

The sum to infinity of the series (1)/(1)+(1)/(1+2)+(1)/(1+2+3)+...... is equal to

The sum to n terms of series (1)/(1)+(1)/(1+2)+(1)/(1+2+3)+... is

Prove that by using the principle of mathematical induction for all n in N : 1+ (1)/((1+2))+ (1)/((1+2+3))+ .....+(1)/((1+2+3+n))= (2n)/(n+1)