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prove using mathematical induction that n2 is less than 2n for n>=5

xERROR - 404x , 5 Years ago
Grade 12
anser 1 Answers
Aditya Gupta

Last Activity: 5 Years ago

For n≥5  you have n^2>2n+1 (this should not be hard to see) so if n^2
2^(n+1)= 2⋅2^n>2n^2>n^2+2n+1=(n+1)^2.
If you still have doubts feel free to ask.
kindly approve :=)
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