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The coefficients of three consecutive te...

The coefficients of three consecutive terms in the expansion of `(1+x)^n` are in the ratio `1:7:42`, then `n=`

A

55

B

60

C

72

D

63

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The ratio of the coefficient of x^10 in (1-x^2)^10 and the term of ind...

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  2. The two successive terms in the expansion (1+x)^24 whose coeff's are i...

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  3. The coefficients of three consecutive terms in the expansion of (1+x)^...

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  4. If the coefficients of 2nd, 3rd, 4th terms of (1+x)^n are in A.P. then...

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  5. If the coefficients of 5th, 6th, 7th terms of (1+x)^n are in A.P. then...

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  6. If the coefficients of x^9, x^10, x^11 in the expansion of (1+x)^n are...

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  7. If the coefficients of 2nd , 3rd and 4th terms of the expansion of (1+...

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  8. If 28, 56, 70 are the successive coefficients of (1+x)^n then n=

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  9. If the first three terms of (1+ax)^n are 1,6x,16x^2 then (a, n)=

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  10. If the first three terms of (a+b)^n are 1, 14, 84 respectively then n=

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  11. If the 3rd, 4th and 5th terms of (x+a)^n are 720, 1080 and 810 respect...

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  12. If the 3rd, 4th and 5th terms of (x+a)^n are 60, 160, 240 respectivel...

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  13. If the 2nd and 3rd terms in the expansion of (1+x)^n are 20a and 180a...

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  14. If the coefficients of x^3 and x^4 in the expansion of (1+ax+bx^3)(1-2...

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  15. 5th term of (2x^2+(3)/(x))^5 is 10. Then x=

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  16. If the third time in the expansion of ((1)/(x)+x log10 x) 1 then x=

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  17. If the fourth term in the expansion of (sqrt(x^(1//(logx+1)))+x^(1//12...

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  18. If the 6th term in the expansion of ((1)/(x^(8//3))+x^2 log10 x)^8 is ...

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  19. If the third term in the expansion of ((1)/(x)+x^(log10 x) x)^5 is 100...

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  20. If the third term in the expansion of (x + x log10 x)^5 is 10^6 then x...

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