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Consider the expansion of (x+a)^n Find t...

Consider the expansion of `(x+a)^n` Find the `(r+1)^(th)`term in the expansion

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`"^nC_rx^(n-r)a^r`
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A N EXCEL PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. What are the coefficients of (2r+1)^(th) and (r+2)^(th) terms in the e...

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  2. If these coefficients are equal , prove that r=14

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  3. Consider the expansion of (x+a)^n Find the (r+1)^(th)term in the expan...

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  4. Consider the expansion of (x+a)^n Find the 6th ,7th and 8th terms in t...

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  5. Consider the expansion of (x+a)^n If these are 112,7 and 1/4 respectiv...

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  6. Expand (1+ax)^n upto the third term if n is a positive integer

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  7. If the first three terms in the expansion of (1+ax)^n are 1,-21x and 2...

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  8. What is the coefficient of the (r+1)^(th) term in the expansion of (1+...

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  9. What is the coefficient of 5th, 6th and 7th terms in the expansion of ...

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  10. If they are in A.P, find the possible values of n

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  11. Expand 2^(3n) by writing 2^(3n)=(1+7)^n

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  12. Using binomial theorem prove that 2^(3n)-7n-1 is divisible by 49, wher...

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  13. prove the result ^(n+1)Cr=^nC(r-1)+^nCr

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  14. Prove that ""^(n+1)C(r+1)=(n+1)/(r+1)"^nCr

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  15. Prove that (C0+C1)(C1+C2)(C2+C3)...(C(n-1)+Cn)=(C0C1C2...C(n-1)(n+1)^n...

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  16. Prove that ""^(n+1)C(r+1)=(n+1)/(r+1)"^nCr

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  17. Prove that C0+C2/3+C4/5+...=(2^n)/(n+1)

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  18. Given that Cr/(C(r-1))=(n-r+1)/r Evaluate C1/C0,C2/C1 and C3/C2

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  19. Given that Cr/(C(r-1))=(n-r+1)/r Prove that (1+C1/C0)(1+C2/C1)...(1+C...

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  20. Given that C0+C1x+C2x^2+..+Cnx^n=(1+x)^n prove that C0+5.C1+5^2.C2+......

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