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If S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/2)k^...

If `S_(n)=sum_(k=1)^(4n)(-1)^((k(k+1))/2)k^(2)`, then the values of `S_(8)` is equal to

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The correct Answer is:
`1056`
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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 41-MATHEMATICS
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  7. inte^((logx+ax^(2)))cos(bx^(2)+c)dx is equal to

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  8. The negation of the compound statement ~pvv(pvv(~q)) is

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  9. The mean and variation of 7 observations are 8 and 16 respectivelh. If...

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  10. Which one of the following is incorrect?

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  11. In a triangle ABC if Delta=|(e^(i2A),e^(-iC),e^(iB)),(e^(-iC),e^(i2B...

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  12. Let f(x) ={(2-x+a^(2)-9a-9,xlt2),(2x-3,xge2):} Where a is a positiv...

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  13. If y=cos^(-1)[(cosx+4sinx)/(sqrt(17))] then (dy)/(dx)d is

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  14. Let the line x=k divide the area enclosed by (1-x)^(2)=y,x=0,y=0 int...

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  15. How many real solutions does the equation 2sin x=x^(2)-x pi+(pi^(2)+8)...

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  17. The function defined by f(x) ={((x^(2)+e^(1/2-x))^(-1),x!=2),(k,x=2)...

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  18. Let C(1):y^(2)=4[sqrt(y)]x,C(2):x^(2)=4[sqrt(x)]y represent two curves...

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  19. If S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/2)k^(2), then the values of S(8) i...

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  20. Evaluate 8cos36^(@)cos72^(@)cos108^(@)cos144^(@)

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