`1.3+3.5+5.7+..... n ` terms =

Find the sum of the following series : 1.3+3.5+5.7+ .... to n terms .

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) .

Using the P.M.I 2prove that 1/1.3+1/3.5+1/5.7+....+n terms=n/(2n+1)

1 . 3+3 . 5+5 . 7+.. . . to n terms =

3 + 5 + 7 + .... to n terms is

Show that 1/1.3+1/3.5+1/5.7+..........+n "terms"=n/(2n+1)

(1)/(1 . 3)+(1)/(3 . 5)+(1) /(5 . 7)+.. to n terms =

3+5+7+ …..sum to n terms

Prove by the method of Induction for all n in N : 1/3.5 + 1/5.7 + 1/7.9 + …. n terms = n/(3(2n+3))