Multiple Choice Question (MCQ)

What is the sum of the first 100 natural numbers?

  1. ×

    5000

  2. ×

    5025

  3. 5050

  4. ×

    5075

Collected in the board: Arithmetic sequence

Steven Zheng posted 1 month ago


Answer

  1. The first 100 natural numbers is an arithmetic sequence where the first term a_1=1, 100th term a_{100}=100 and the common difference d=1

    Using the sum formula for an arithmetic sequence,

    S_n=\dfrac{a_1+a_n}{2}\cdotp d\cdotp n

    S_{100}=\dfrac{1+100}{2}\cdotp 1\cdotp 100

    =101\times 50

    =5050

Steven Zheng posted 1 month ago

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