" 6."1.3+3.5+5.7+..............+(2n-1)(2n+1)=(n(4n^(2)+6n-1))/(3)

Prove that 1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^2+6n-1))/3

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

Prove that by using the principle of mathematical induction for all n in N : 1.3+3.5+5.7+....+(2n-1)(2n+1)= (n(4n^(2)+6n-1))/(3)

Prove that by using the principle of mathematical induction for all n in N : 1.3+3.5+5.7+....+(2n-1)(2n+1)= (n(4n^(2)+6n-1))/(3)

Prove the following by using the principle of mathematical induction for all n in Nvdots1.3+3.5+5.7+...+(2n-1)(2n+1)=(n(4n^(2)+6n-1))/(3)

Prove the following by using the principle of mathematical induction for all n in N 1.3+3.5+5.7+……+(2n-1)(2n+1) = (n(4n^2 + 6n-1))/(3)

Using mathematical induction prove that 1cdot3+3cdot5+5cdot7+.....+(2n-1)(2n+1)=(n(4n^2+6n-1))/3 true for all n in N

By the Principle of Mathematical Induction, prove the following for all n in N : 1/1.3+1/3.5+1/5.7+......+ 1/((2n -1)(2n +1))= n/(2n +1) .

(1^(4))/(1.3)+(2^(4))/(3.5)+(3^(4))/(5.7)+......+(n^(4)) /((2n-1)(2n+1))=(n(4n^(2)+6n+5))/(48)+(n)/(16(2n+1))