Binomial Theorem

The positive integer just greater than (1 + .0001)^10000 is

The positive integer just greater than (1 + .0001)10000 is

  1. 2
  2. 3
  3. 4
  4. 5

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If X = {4^n - 3n -1 : n ∈ N} and Y = {9(n - 1) : n ∈ N}

If X = {4n - 3n -1 : n ∈ N} and Y = {9(n - 1) : n ∈ N}, where N is the set of natural numbers, then X ∪ Y is equal to

  1. Y
  2. Y - X
  3. X
  4. N

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The coefficient of x^7 in the expansion of (1 - x - x^2 + x^3)^6 is

The coefficient of x7 in the expansion of (1 - x - x2 + x3)6 is

  1. 132
  2. -132
  3. 144
  4. -144

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If the coefficients of the three successive terms in the binomial expansion of (1+x)^n are in the ratio 1:7:42

If the coefficients of the three successive terms in the binomial expansion of (1+x)n are in the ratio 1:7:42, then the first of these terms in the expansion is:

  1. 6th
  2. 7th
  3. 8th
  4. 9th

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