Solve : `(2n + 3)/(6n -5) = 1`

Solve : (2)/(3)(n+6) - (1)/(5)(n-4) = (3)/(7)(n+12)

Solve the following equations : 3 (n-4) + 2 (4n -5) =5 (n+ 2) + 16 .

Solve: (n)/(4)-5=(n)/(6)+(1)/(2) . Check the result.

lim_ (n rarr oo) ((1) / (n + 1) + (1) / (n + 2) + (1) / (n + 3) + ...... + (1) / (6n ))

Prove that by using the principle of mathematical induction for all n in N : (1)/(2.5)+ (1)/(5.8) + (1)/(8.11)+ ...+(1)/((3n-1)(3n+2))= (n)/(6n+4)

Prove that by using the principle of mathematical induction for all n in N : (1)/(2.5)+ (1)/(5.8) + (1)/(8.11)+ ...+(1)/((3n-1)(3n+2))= (n)/(6n+4)

Prove the following by the method of induction for all n in N : 1.3 + 3.5 + 5.7 +... to n terms =n/3 (4n^2 + 6n - 1) .