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Formula for sum of 'n' terms in an AP = ...

Formula for sum of 'n' terms in an AP = …………..

A

`sum n = (n(n+1))/(2)`

B

`sum n^(2) = (n^(2)(n+1)(n+2))/(6)`

C

`S_(n) = n/2[2a+(n-1)d] or S_(n) = n/2 [a+l]`

D

`a_(n)=a+(n-1)d`

Text Solution

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The correct Answer is:
C
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VGS PUBLICATION-BRILLIANT-PROGRESSIONS-Part - B Observation bits to solve various bits (Given in the public examination)
  1. The common difference of the AP 2a-b, 4a-3b, 6a-5b is ………..

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  2. In a GP a(1) = 20 and a(4) = 540 then r = …………..

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  3. Formula for sum of 'n' terms in an AP = …………..

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  4. The common difference of AP 1, -1, -3, ……. Is …………

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  5. In an AP a(n) = (5n-3)/(4), then a(7) = ………..

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  6. Which term of G.P. 3, 3sqrt(3), 9, ……. equals to 243?

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  7. If x, x+2, x+6 are three consecutive terms in G.P. find the value of '...

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  8. If a(n) = (n(n+3))/(n+2), then find a(17).

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  9. The 21^(th) of an A.P., whose first two terms are -3 and 4 is ………..

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  10. The common difference of an A.P. for which a(18)-a(14) = 32 is …….

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  11. In an A.P., if a = 1 , a(n) = 20 and S(n) = 399, then n = ……..

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  12. Which term of the G.P. 1/3, 1/9, 1/27,………. is 1/(2187)?

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  13. Which term of A.P., 18,15,12,……. Equal to '0' ?

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  14. If k, 2k+1, 2k+3 are three consecutive terms in A.P., then find the va...

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  15. If a(n) = (n)/(n+1), then a(2017) = ………..

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  16. n^(th) term of a progression a, ar ar^(2), ………. is …………

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  17. IF 4,a,9 are in G.P., then a=………..

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  18. The next term in A.P., sqrt(3), sqrt(12), sqrt(27) is ……..

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  19. The common difference of A.P. log(2) 2, log(2)4, log(2)8, is …………..

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  20. The sum of first 'n' odd natural numbers is ………

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