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1^(2)+2^(2)+3^(2)+….+19^(2)=....

`1^(2)+2^(2)+3^(2)+….+19^(2)=_____.`

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`2470`
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1^(2) + 2^(2) + 3^(2) + …+ 10^(2) is :

Prove that 1^(2)+2^(2)+3^(2)+.....+n^(2)=(n(n+1)(2n+1))/6

The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2).......(x-2^(19)) is 2^(20)-2^(19) b. 1-2^(20) c. 2^(20) d. none of these

The sum up to 10 terms of the series (3 xx 1^(3))/(1^(2)) + (5 xx (1^(3) + 2^(3)))/(1^(2) + 2^(2)) + (7 xx (1^(3) + 2^(3) + 3^(3)))/(1^(2) + 2^(2) + 3^(2)) + ....

The value of "^20 C_0+^(20)C_1+^(20)C_2+^(20)C_3+^(20)C_4+^(20)C_ 12+^(20)C_ 13+^(20)C_14+^(20)C_15 is a. 2^(19)-(( "^(20)C_10 + "^(20)C_9))/2 b. 2^(19)-((^(20)C 10+2xx^(20)C9))/2 c. 2^(19)-(^(20)C 10)/2 d. none of these

it x_(1)^(2) +2y_(1)^(2)+3z_(1)^(2)=x_(2)^(2)+2y_(2)^(2)+3z_(2)^(2)=x_(3)^(2)+2y_(3)^(2)+3z_(3)^(2)=2 " and " x_(2)x_(3) +2y_(2)y_(3)+3z_(2)z_(3)=x_(3)x_(1)+2y_(3)y_(1)+3z_(3)z_(1)=x_(1)x_(2)+2y_(1)y_(2)+3z_(1)z_(2)=1 Then find the value of |{:(x_(1),,y_(1),,z_(1)),(x_(2),,y_(2),,z_(2)),(x_(3),,y_(3),,z_(3)):}|

By the principle of mathematical induction, prove that, for nge1 1^(2) + 3^(2) + 5^(2) + . . .+ (2n-1)^(2)=((n(2n-1)(2n+1))/3)

SURA PUBLICATION-CREATIVE QUESTION SET -Multiple Choice Question
  1. Find the next term of the sequence (1)/(2), (1)/(6), (1)/(10), (1)/(14...

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  2. Sum of n-terms of a G.P. is .

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  3. 1^(2)+2^(2)+3^(2)+….+19^(2)=.

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  4. The average of first 100 natural number is .

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  5. The numbers of the form a, a+d, a+2d, a+3d is said to form.

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  6. Who is the " Father of Geometry"?

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  7. If a and b are any two integers then there exists unique integers q an...

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  8. A linear equation in three variables of the form ax+by+cz+d=0 represen...

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  9. sqrt(361x^(4)y^(2))=

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  10. A square matrix, all of whose elements except those in the leading dia...

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  11. If the graph of the given equation does not intersect the x-axis at an...

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  12. What is the value of x in 3sqrt(x)=9?

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  13. xy-7=3 is not linear equation in two variables since the terms xy is o...

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  14. Who is the "father of algebra"?

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  15. The LCM of 8x^(4)y^(2), 48x^(2)y^(4) is .

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  16. If a polynomial is a perfect square then its factors will be repeated ...

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  17. If the order of A is 4times3 and order of B is 3times2 then the order ...

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  18. If A=[(1, 3), (sqrt(2)), 5), ((1)/(2), 4)] then find a(32).

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  19. If A=[(1, -1), (-1, 1)] and B=[(1, 1), (1, 1)] then AB=.

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  20. For the given matrix A=[(1, 3, 5, 7), (2, 4, 6, 8), (9, 11, 13, 15)] t...

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