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C(1) + 4.C(2) + 7.C(3) +......+(3n - 2)....

`C_(1) + 4.C_(2) + 7.C_(3) +......+(3n - 2).C_(n) =`

A

`(3n - 4)2^(n + 1)`

B

`(3n - 4)2^(n - 1) + 2`

C

`(3n - 4).2^(n)`

D

`(3n - 4).2^(n - 1) + 1`

Text Solution

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The correct Answer is:
B
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NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-EXERCISE
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  3. The middle term in the expansion of (x/3-2/sqrt(x))^(6) is

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  4. The number of terms in the expansion of (1 + 5sqrt(2)x)^(9) + (1 - 5sq...

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  5. The number of terms in the expansion of (x + a)^(100) + (x - a)^(100) ...

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  6. If the 21^(st) and 22^(nd) terms in the expansion of (1 + x)^(44) are ...

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  7. In the expansion of (1 + x)^(50) the sum of the coefficients of the od...

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  8. If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n)...

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  9. If (1 - x)^(n) = C(0) + C(1)x + C(2)x^(2) + ......... + C(n)x^(n), the...

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  10. The value of C(n, 0) - C(n, 1) + C(n, 2) - C(n, 3) +.......+(-1)^(n)C(...

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  11. C(1) + 4.C(2) + 7.C(3) +......+(3n - 2).C(n) =

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  12. When x is large sqrt(1 + x^(2)) is nearly equal to

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  13. When x is small, sqrt(1 + 2^(x)) is nearly equal to

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  14. The value of (1.01)^(-2) correct to two decimal place is

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  15. Find the value of e^(2), rounded off to one decimal place.

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  16. If the coefficient of the 2^(nd),3^(rd) and 4^(th) terms in the expans...

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  17. The remainder when 5^(99) is divided by 13 is

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  18. The number of intergral terms in the expansion of (3^(1/2) + 5^(1/3))^...

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  19. The value of (18^(3) + 7^(3) + 3.18.7.25)/(3^(6) + 6(243)2 + 15(81)4 +...

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  20. The term independent of x in the expansion of (x^(2) - 1/(3x))^(9) is ...

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