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What is the value of the expression \(101 + 102 + 103 + ... + 200\)?

  • A.15000
  • B.15050
  • C.15550
  • D.16050

Answer: B

This is an arithmetic progression. Number of terms (n) = (Last Term - First Term) + 1 = (200 - 101) + 1 = 100.

Sum = \(\frac{n}{2}(\text{first term} + \text{last term})\)

Sum = \(\frac{100}{2} \times (101 + 200) = 50 \times 301 = 15050\).

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