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The sum of 10 terms of the series sqrt(2...

The sum of 10 terms of the series `sqrt(2)+sqrt(6)+sqrt(18)+ddoti s\ ` `11(sqrt(6)+sqrt(2))` b. `243(sqrt(3)+1)` c. `(11)/(sqrt(3)-1)` d. `242(sqrt(3)-1)`

A

`121(sqrt(6)+sqrt(2))`

B

`243(sqrt(3)+1)`

C

`(121)/(sqrt(3)-1)`

D

`242(sqrt(3)-1)`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. If the first term of an A.P. is 2 and common difference is 4, then ...

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  2. If 1+(1+2)/2+(1+2+3)/3+ddotto\ n terms is Sdot Then, S is equal to (n(...

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  3. The sum of 10 terms of the series sqrt(2)+sqrt(6)+sqrt(18)+ddoti s\ ...

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  4. The (m+n)th and (m-n)th terms of a GP are p and q, respectively. Then,...

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  5. The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, ...

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  6. The sum of the integers from 1 to 100 which are not divisible by 3 or ...

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  7. Let the harmonic mean and geometric mean of two positive numbers be in...

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  8. The sum of the series 1 + 2.2+ 3.2^(2) + 4.2^(3) + 5.2^(4) + ….. +...

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  9. If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b) are in A.P. prove that a ,\ ...

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  10. If the m^(th),n^(th)andp^(th) terms of an A.P. and G.P. be equal and b...

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  11. The 7th term of a H.P. is (1)/(10) and 12 th term is (1)/(25), find th...

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  12. The length of side of a square is 'a' metre. A second square is formed...

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  13. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

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  14. If three positive real numbers a,b,c, (cgta) are in H.P., then log(a+c...

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  15. In an A.P., the p^(th) term is 1/q and the q^(th) term is 1/p. fin...

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  16. The sum of the series 2/3+8/9+(26)/(27)+(80)/(81)+ to n terms is (a) n...

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  17. If a,b,c are in H.P. , then

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  18. The odd value of n for which 704+1/2(704)+… upto n terms = 1984-1/2(1...

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  19. The positive interger n for which 2xx2^2+3xx 2^3+4xx2^4+….+nxx2^4=2^(n...

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  20. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...

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