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Show that the sum of the numbers in the ...

Show that the sum of the numbers in the n th bracket of the series `(1)+(3+5)+(7+9+11)+...+"is" n^(3)`.

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. There are m A.P. Whose common differences are 1,2,3,.. M respectively...

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  2. If S(1),S(2),S(3),...S(m) be the sum of first n terms of n A.P. Whose...

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  3. Show that the sum of the numbers in the n th bracket of the series (1)...

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  4. Show that the following two A.P. is have 14 common terms 3,7,11,15...,...

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  5. Show that there are 17 identical terms in the following two A.P. 2,5,8...

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  6. Find the n th term and the sum of first n terms of thefollowing sequen...

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  7. Solve |x^(2)+4x+3|+2x+5=0

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  8. For a gt0, determine all the roots of the equations x^(2)-2a|x-a|-3a...

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  9. How many five -digit numbers divisible by 3 can do formed using the d...

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  10. How many five-digit telephone numbers with pairwise distinct digits ca...

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  11. Five speakers A,B,C,D and E will speark at a meeting. In how many ways...

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  12. If z(1)=3i and z(2)=-1-i , where i=sqrt(-1) find the value of arg ((z(...

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  13. Show that the number of solutions of equations |x|^(2)-3|x|+2=0 is 4.

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  14. Show that (1)/(2)[(x-y)^(4)+(y-z)^(4)+(z-x)^(4)] is perfect square.

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  15. In an arithmetic progression of n terms ( n is even) , the two middle ...

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  16. In an A.P. fo n terms (n is even), the two middle terms are (alpha- be...

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

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

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  19. Which term of the series 3+4+6+9+13+18+.. is 5053?

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

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