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Using the principle of mathematical indu...

Using the principle of mathematical induction, prove that `1^(2)+3^(2)+5^(2)+......+(2n-1)^(2),=(n)/(3)(4n^(2)-1)`, where `ninN`.

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`1^(2)+3^(2)+5^(2)+......+(2n-1)^(2)=(n)/(3)(4n^(2)-1)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -C)
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  3. For a triangle, if (1)/(a+c)+(1)/(b+c)=(3)/(a+b+c), then show that ang...

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  4. Using the principle of mathematical induction, prove that 1^(2)+3^(2)+...

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  12. If lim(xto3)(px^(2)-q)/(x-3)=6, then find the values of p and q.

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  13. If y=sqrtx+(1)/(2sqrtx)and2x(dy)/(dx)+y=f(x), then find f(x).

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  14. Prove that for any two statements p and q the statements ~(pharr~q)and...

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  15. Using contrapositive method, prove that -''If x is an interger and x^(...

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  16. A number is selected at random among the first 50 positvie integers. F...

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  17. Calculate the value of : (i)^(61)

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