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CENGAGE-BINOMIAL THEOREM-Solved Examples And Exercises
- If ^n+1C(r+1)dot^n Crdot^(n-1)C(r-1)=11 :6:3, then n r= 20 b. 30 c. 4...
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- If the last tem in the binomial expansion of (2^(1/3)-1/(sqrt(2)))^n i...
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- The last two digits of the number (23)^(14) are
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- The value of x for which the sixth term in the expansion of [2^(log)2s...
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- If the 6th term in the expansion of(1/(x^(8/3))+x^2(log)(10)x)^8 is 56...
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- The total number of terms which are dependent on the value of x in the...
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- In the expansion of (3^(-x//4)+3^(5x//4))^(n) the sum of binomial coe...
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- If n is an integer between 0 and 21, then the minimum value of n!(21-...
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- If R is remainder when 6^(83)+8^(83) is divided by 49, then the value ...
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- Let aa n db be the coefficients of x^3 in (1+x+2x^2+3x^2)^4a n d(1+x+2...
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- Let 1+sum(r=1)^(10)(3^rdot^(10)Cr+rdot^(10)Cr)=2^(10)(alpha. 4^5+beta)...
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- Let a=3^(1/(223))+1 and for all geq3,l e tf(n)=^n C0dota^(n-1)-^n C1do...
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- If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N...
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- The largest value of x for which the fourth tem in the expansion (5^(...
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- The number of values in set of values of r for which ^23 Cr+2.^(23)C(...
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- If the second term of the expansion [a^(1/(13))+a/(sqrt(a^(-1)))]^n is...
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- Given (1-2x+5x^2-10 x^3)(1+x)^n=1+a1x+a2x^2+ and thata1 2=2a2 then the...
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- Sum of last three digits of the number N=7^(100)-3^(100) is.
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- Let n be a positive integer and (1+x+x^2)^n=a0+a1x++a^(2n)x^(2n)dot Sh...
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- Prove that sum(r=1)^k(-3)^(r-1)^(3n)C(2r-1)=0,w h e r ek=3n//2 andn is...
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