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Let A be the sum of the first 20 terms ...

Let A be the sum of the first 20 terms and B be the sum of the first 40 terms of the series `1^2+2xx2^2+3^2+2xx 4^2+5^2+2xx6^2 + …. If B-2 A = 100 gamma " then " gamma `

A

248

B

464

C

496

D

232

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The correct Answer is:
A
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ALLEN-SEQUENCE AND PROGRESSION-Exercise (JM)
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  4. If, for a positive integer n , the quadratic equation, x(x+1)+(x-1)(x+...

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  5. For any three positve real numbers a,b and c, 9(25a ^+b^2)+25(c^2-3ac)...

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  7. Let a1,a2,a3…., a49 be in A.P . Such that underset(k=0)overset(12)Sig...

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  8. Let A be the sum of the first 20 terms and B be the sum of the first ...

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  9. If a,b and c be three distinct real numbers in G.P and a+b+c=xb, then ...

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  11. Find sun of first 15 term of series 1+6+(9(1^2+2^2+3^2))/(7)+(12(1^2+...

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  12. If x and y are positive real numbers and m, n are any positive integ...

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  13. If sin^(4) alpha + 4 cos^(4) beta + 2 = 4sqrt(2) sin alpha cos beta, a...

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  14. The sum of all natural numbers ‘n’ such that 100ltnlt200and H.C.F(91,...

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  15. If a ,b ,a n dc are in G.P., then the equations a x^2+2b x+c=0a n ddx^...

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  16. Let the sum of the first n terms of a non-constant A.P., a(1), a(2), a...

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  17. The sum (3 xx 1^(3))/(1^(2)) + (5 xx (1^(3) + 2^(3)))/(1^(2) + 2^(2)) ...

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  18. Let numbers a(1),a(2)…a(16) are in AP and a(1)+a(4)+a(7)+a(10)+a(13)+a...

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  19. If alpha and beta are the roots of the equation 375 x^(2) - 25x - 2 = ...

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  20. If alpha, beta and gamma are three consecutive terms of a non-consta...

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