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If 1 + X N = C0 + C1x + C2x 2 +……+ Cnx N , Then C0 + C 12 + C 13 + ……+ C1 N + 1 is Equal To: - Mathematics

MCQ

If (1 + x)n = c0 + c1x + C2x2 +……+ Cnxn , then C0 + `"C"_1/2 + "C"_1/3 + ……+ "C"_1/("n" + 1)` is equal to:

Options

  • `(2^"n" - 1)/"n + 1"`

  • `(2^"n" - 1)/"n - 1"`

  • `(2^"n - 1" - 1)/"n + 1"`

  • `(2^"n + 1" - 1)/"n + 1"`

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Solution

`(2^"n + 1" - 1)/"n + 1"`

Concept: Number System (Entrance Exam)
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