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If the first three terms in the expansio...

If the first three terms in the expansion of `(1+ax)^n` are 1,6x and `16x^2`, find a and n

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A N EXCEL PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Consider (sqrt2+3^(1//5))^10 If the r+1^(th) term is rational , find r...

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  2. Write the first three terms in the expansion of (1+ax)^n,ninN

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  3. If the first three terms in the expansion of (1+ax)^n are 1,6x and 16x...

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  4. If tr denotes the r^(th) term in the expansion of (x+1/x)^23 ,find t12...

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  5. Let cr denote the binomial coefficient "^nCr Write the factorial formu...

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  6. Prove that (""^nCr)/(""^nC(r-1))=(n-r+1)/r

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  7. Let cr denote the binomial coefficient "^nCr Hence, show that C1/C0+2C...

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  8. Given that ""^nCr="^nC(n-r)or Cr=C(n-r) Prove that aC0+(a+b)C1+...+(a+...

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  9. Given that ""^nCr="^nC(n-r)or Cr=C(n-r) Prove that aC0+(a+b)C1+...+(a+...

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  10. What is the (r+1)^(th) term in the expansion of (3x+2y)^8?

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  11. Using the (r+1)^(th) term, find the 3rd,4th and 5th terms in the expan...

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  12. find the middle term in the expansion of (3x+2y)^8

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  13. Expand (1+x)^4,(1-x)^3 and (1-x)^2

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  14. Expand (1-x+x^2)^4

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  15. Consider the expansion of ((4x)/5-5/(2x))^9 Find the general term in t...

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  16. Consider the expansion of ((4x)/5-5/(2x))^9 Find the 7th term in the e...

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  17. Consider the expansion of ((4x)/5-5/(4x))^8 Find the (r+1)^(th) term i...

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  18. Consider the expansion of ((4x)/5-5/(4x))^8 Find the number of terms i...

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  19. Consider the expansion of ((4x)/5-5/(4x))^8 The middle term in the exp...

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  20. Consider the expansion of ((4x)/5-5/(4x))^8 Find the fourth term from ...

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