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Prove by the principle of mathematical i...

Prove by the principle of mathematical induction:
`1+2+3+……..+n<1/8(2n+1)^2`

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Prove the following by the principle of mathematical induction: \ 1. 3+2. 4+3. 5++(2n-1)(2n+1)=(n(4n^2+6n-1))/3

JBD PUBLICATION-MODEL PAPER (3)-EXERCISE
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  7. The sum of two numbers is 6 times their G.M. show that numbers are in ...

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  11. Verify that the locus of a point P which moves so that the sum of its ...

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  12. Differetiate the function:[(x+2)(1-3x)]/(2x+1),x ne -1/2 w.r.t.x.

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  14. Convert the following in the polar form : (1+7i)/(2-i)^2.

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  16. Find all pairs of consecutive even positive integers, both of which ar...

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  17. Solve the inequalities given below:- 7le ((3x+11))/2le11

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