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The sixth term in the expansion of ( sqr...

The sixth term in the expansion of `( sqrt(2^(log(10-3^x))) + (2^((x-2)log3))^(1/5))^m` is equal to 21, if it is known that the binomial coefficient of the 2nd 3rd and 4th terms in the expansion represent, respectively, the first, third and fifth terms of an A.P. (the symbol log stands for logarithm to the base 10) The value of m is

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A DAS GUPTA-Binomial Theorem for Positive Integrel Index-Exercise
  1. The sixth term in the expansion of ( sqrt(2^(log(10-3^x))) + (2^((x-2)...

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  2. Determine the constant term in the expansion of (1+x+x^2+x^3)^10

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  3. If the fourth term in the expansion of (px+1/x)^n is 5/2, then (n,p)...

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  4. Show that there wil be a term independent of x in the expansion of (x^...

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  5. Find the term which does not contain irrational expression in the expa...

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  6. If in any binomial expansion a, b, c and d be the 6th, 7th, 8th and 9t...

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  7. The value of x in the expression (x+x^((log)(10)))^5 if third term in ...

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  8. Prove that the coefficient of the middle term in the expansion of (1+x...

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  9. In the expansion of (1 + x)^43 ,the co-efficients of (2r + 1)th and (r...

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  10. Prove that in the expansion of (1+x)^(2n), the coefficient of x^n is d...

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  11. The coefficient of 5th, 6th and 7th terms in the expansion of (1+x)^n ...

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  12. Given positive integers r>1,n> 2, n being even and the coefficient of...

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  13. If the coefficients of three consecutive terms in the expansion of (1 ...

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  14. If a,b,c be the three consecutive coefficients in the expansion of a p...

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  15. If a,b,c and d are any four consecutive coefficients in the expansi...

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  16. If a,b,c and d are any four consecutive coefficients in the expansi...

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  17. If the four consecutive coefficients in any binomial expansion be a, b...

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  18. Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...

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  19. If n be a positive integer then prove that the integral part P of (5+2...

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  20. If (9+4sqrt5)^n=p+beta where n and p are positive integers and beta is...

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  21. Integer just greater tehn (sqrt(3)+1)^(2n) is necessarily divisible by...

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