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Mathematics Dictionary
Dr. K. G. Shih


Question and Answer
Questions



  • Keyword | B002 - Binomial expansion coefficients
    • Prove that 5^(2*n) - 24*n - 1 is divisible by 576 if n is integer
  • Keyword | S14 - Binomial theorem : Defintion and examples
  • Keyword | S42 - Binomial theorem
    • Expand Sqr(1 + x^2) into series and find Sqr(2)
  • Keyword | S43 - Binomial theorem :
    • Condition to have constant term in (x + 1/(x^2))^n
  • Keyword | B001- Binomial expansion coefficients
    • Sum[C(n,r)] = 2^n for r = 0, 1, 2, ..... n
    • C(n,0) + C(n,2) + ... = C(n,1) + C(n,3) + ... for n is odd
    • Prove C(n,r) = C(n,n-r)
  • Keyword | S84 - Bisector of triangle AD = 2*b*c*cos(A/2)/(b+c)
  • Keyword | S85 - Bisectors of triangle make angles x,y,z with sides
    • Prove that a*sin(2*x) + b*sin(2*y) + c*sin(2*z) = 0


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    Copyright © Dr. K. G. Shih, Nova Scotia, Canada.

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