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If the last tem in the binomial expansio...

If the last tem in the binomial expansion of `(2^(1/3)-1/(sqrt(2)))^n i s(1/(3^(5/3)))^(log_3 8)` , then 5th term from the beginning is `210` b. `420` c. `105` d. none of these

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. If b1, b2 bn are the nth roots of unity, then prove that ^n C1dotb1+^n...

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  2. If .^(n+1)C(r+1) :^n Cr :^(n-1)C(r-1)=11 :6:3, then n r=? a. 20 b. 30...

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  3. If the last tem in the binomial expansion of (2^(1/3)-1/(sqrt(2)))^n i...

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  4. Find the last two digits of the number (23)^(14)dot

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  5. The value of x for which the sixth term in the expansion of [2^(log)2s...

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  6. If the 6th term in the expansion of(1/(x^(8/3))+x^2(log)(10)x)^8 is 56...

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  7. The total number of terms which are dependent on the value of x in the...

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  8. In the expansion of (3^(-x//4)+3^(5x//4))^(n) the sum of binomial coe...

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  9. If n is an integer between 0 and 21, then the minimum value of n!(21-...

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  10. If R is remainder when 6^(83)+8^(83) is divided by 49, then the value ...

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  11. Let aa n db be the coefficients of x^3 in (1+x+2x^2+3x^3)^4a n d(1+x+2...

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  12. Let 1+sum(r=1)^(10)(3^r.^(10)Cr+r.^(10)Cr)=2^(10)(alpha. 4^5+beta) whe...

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  13. Let a=3^(1//224)+1 and for all n ge 3, let f(n)=""^(n)C(0)a^(n-1)-""...

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  14. If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N...

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  15. The largest value of x for which the fourth tem in the expansion (5^(...

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  16. The number of values in set of values of r for which ^23 Cr+2.^(23)C(...

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  17. If the second term of the expansion [a^(1/(13))+a/(sqrt(a^(-1)))]^n is...

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  18. Given (1-2x+5x^2-10 x^3)(1+x)^n=1+a1x+a2x^2+ and thata1 ^2=2a2 then th...

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  19. Sum of last three digits of the number N=7^(100)-3^(100) is.

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  20. Let n be a positive integer and (1+x+x^2)^n=a0+a1x+ . . . . +a(2n)x^(2...

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