By using mathematical induction show that
`1/(1.4)+1/(4.7)+1/(7.10)+.......(up t o 'n' terms)=n/(3n+1), foralln in N`

Using the principle of finite Mathematical Induction prove the following: (iii) 1/(1.4) + 1/4.7 + 1/7.10 + ……… + "n terms" = n/(3n+1) .

Using the principle of finite Mathematical Induction prove that 1^2+(1^2+2^2)+(1^2+2^2+3^2)+.......n terms =(n(n+1)^2(n+2))/12,foralln in N

Using the principle of finite Mathematical Induction prove that 1.2.3+2.3.4+3.4.5.+………… upto n terms = n(n+1)(n+2)(n+3))/4,for all n in N

Show that 1^3/1+(1^3+2^3)/(1+3)+............n "terms "=n/24(2n^2+9n+13)

Using the principle of Mathematical Induction, show that 2.4^(2n+1)+3^(3n+1) is divisible by 11, forall n in N

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

Using Mathematical induction. For all n in N . Show that a+(a+d)+(a+2d)+…………..n "upto n terms" = n/2 [2a+(n-1)d] .

underset(n to oo)lim {(1)/(1.4)+(1)/(4.7)+(1)/(7.10)+....+(1)/((3n-2)(3n+1))}=

Using Mathematical Induction, prove that statement for all n in N 1.2.3+2,3,4+……….+("upto n terms")=(n(n+1)(n+2)(n+3))/(4) .

2.4 + 4.7 + 6.10+ …. upto (n-1) terms=