Grade 12Algebra
prove using mathematical induction that n2 is less than 2n for n＞=5
prove using mathematical induction that n2 is less than 2n for n＞=5
1 Answer
Aditya Gupta
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.
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 :=)
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago