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In an arithmetic progression of n terms ...

In an arithmetic progression of n terms ( n is even) , the two middle terms are p-q,p+q respectively. Prove that the sum of the squares of all the term of the progression is n `[p^(2)+(n^(2)-1)/(3)q^(2)]`.

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
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  3. In an arithmetic progression of n terms ( n is even) , the two middle ...

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  5. Prove that the ineuations (2x+1)/(7x-1) gt 5 and (x+7)/(x-8)gt2 have n...

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  6. If the argument of (z-a)(barz-b) is equal to that of ((sqrt(3)+i)(1+sq...

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  8. z(1) and z(2)( ne z(1)) are two complex numbers such that |z(1)|=|z(2...

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  9. If x= cos theta+ I sin theta and y= cos psi + I sin psi, then show tha...

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  11. If omegais an imaginary cube root of unity, show that (a+ bomega+com...

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  12. If omegais an imaginary cube root of unity, show that (omega)/(9)[(1...

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  15. Find the square root of (a^(2))/(b^(2))+(b^(2))/(a^(2))+(1)/(2i)((a)/(...

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  16. z(1) and z(2) are two non-zero complex numbers such that z(1)^(2)+z(1)...

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