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Let S=3+(5(a^(3)+2^(3)))/(1^(2)+2^(2))+(...

Let `S=3+(5(a^(3)+2^(3)))/(1^(2)+2^(2))+(7(1^(3)+2^(3)+3^(3)))/(1^(2)+2^(2)+3^(2))+`… then the sum up to 10 terms is

A

660

B

680

C

600

D

620

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The correct Answer is:
A
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Let S=3+(5(1^(3)+2^(3)))/(1^(2)+2^(2))+(7(1^(3)+2^(3)+3^(3)))/(1^(2)+2^(2)+3^(2))+... then the sum up to 10 terms is

The sum (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 sum (3xx1^(3))/(1^(2))+(5xx(1^(3)+2^(3)))/(1^(2)+2^(2))+(7xx(1^(3)+2^(3)+3^(3)))/(1^(2)+2^(2)+3^(2))

the sum (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^(2)+2^(2)+3^(2))+...... upto 11 terms

Let S_(n) be the sum to n terms of the series (2)/(1 ^(2)) + (5)/(1 ^(2) + 2^(2)) + (7)/(1^(2) + 2^(2) + 3^(2)) + (9)/(1 ^(2) + 2^(2) + 3 ^(2) + 6 ^(2))+ ……. then

1*3^(2)+3*5^(2)+5*7^(2)...... find sum to n terms

((3^(-1)7^(2))/(3^(3)7^(-4)))/((3^(3)7^(-5))/(2^(-2)7^(3)))

Sum of first 20 terms of (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^(2)+2^(2)+3^(2))+... upto 20 terms is :

3/(1^2 2^2)+5/(2^2 3^2)+7/(3^2 4^2)+ . . . upto 10th term

The sum of (3)/(1^(3))+(5)/(1^(3)+2^(3))+(7)/(1^(3)+2^(3)+3^(3))+...... upto 11 terms is equal to

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
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  4. Let S(k) = (1+2+3+...+k)/(k). If S(1)^(2) + s(2)^(2) +...+S(10)^(2) = ...

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  5. The product of three consecutive terms of a G.P. is 512. If 4 is added...

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  7. If 19^(th) term of a non-zero A.P. is zero, then (49^(th) term) : (29^...

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  9. The sum underset(k=1)overset(20)sum k (1)/(2^(k)) is equal to

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  10. Let sum(k=1)^(10)f(a+k)=16(2^(10)-1), where the function f satisfies ...

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

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  12. Some identical balls are arranged in rows to form an equilateral tria...

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  13. The sum of the the series 1+2x3+3x5+4x7+…. Upto 11^(th) term is

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  14. If the sum and product of the first three terms in an AP are 33 and 11...

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  15. Let S=3+(5(a^(3)+2^(3)))/(1^(2)+2^(2))+(7(1^(3)+2^(3)+3^(3)))/(1^(2)+2...

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  16. Let a1,a2,a3,... be in A.P. With a6=2. Then the common difference of t...

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  17. Let a, b and c be in GP with common ratio, r where a !=0 and 0 lt r le...

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  18. value of 1+(1^(3)+2^(3))/(1+2)+(1^(3)+2^(3)+3^(3))/(1+2+3)+……+(1^(3)+2...

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  19. Let S(n) denote the sum of the first n terms of an AP. If S(4) = 16 an...

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  20. If a(1), a(2), a(3),... are in AP such that a(1) + a(7) + a(16) = 40, ...

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