MathsLearner123

I have attempted the problem. Can you please advise if i am doing correctly. I want to prove equation 1 again by induction is it correct? Please advise. Induction.pdf

There is no suggestion that i should try with Taylor series. As suggested by you i will try solving simpler induction problems then will attempt this problem. I am trying to solve some of the entrance examination papers which are generally considered very tough.

Thank you for the help. Can I prove some thing like this For n=2 LHS: 2 * (9 + 16) = 50 RHS: 7^2 = 49 50 > 49. Difference (50 - 49) = 1; For n=3; LHS: 4*(27+64) = 364, RHS: 7 ^ 3 = 343 364 > 343. Differnce (364 - 343) = 21. The difference is increasing for the increasing n. Hence the equation is valid for all n >=2. Is it correct way of solving? Please advise.

I am self learning and trying to solve the above problem. I have no clew how to solve it. Any hints how to proceed? I am planning to use Taylor series will it help me?