Home
Class 11
MATHS
Prove that 3+3.5+3.5^(2)+....+3.5^(n)=(3...

Prove that `3+3.5+3.5^(2)+....+3.5^(n)=(3(5^(n+1)-1))/4` whenever `n` is a non- negative integer by using the principle of mathematical Induction.

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove by using principle of mathematical induction :2^(n)<3^(n),n in N

Prove by using the principle of mathemtical induction: 1+2+3+…+n =(n(n+1))/2

Prove the following by using the Principle of mathematical induction AA n in N 3^(n)>2^(n)

Prove the following by using the Principle of mathematical induction AA n in N 2^(n+3)le(n+3)!

Prove the following by using the principle of mathematical induction for all n in Nvdots(2n+7)<(n+3)^(2)

Prove the following by the principle of mathematical induction: 2+5+8+11++(3n-1)=(1)/(2)n(3n+1)

Prove the following by using the Principle of mathematical induction AA n in N 2^(3n-1) is divisble by 7.

Prove the following by the principle of mathematical induction: 1+3+3^(2)++3^(n-1)=(3^(n)-1)/(2)

Prove by using the principle of mathemtical induction: 3.2^2 +3 . 2^3+…+3^n .2^(n+1) = 12/5 (6^n-1)

By Principle of Mathematical Induction 1 + 2 + 3 _____ + n = _____