Multiple Choice Question (MCQ)

Insert a series of numbers between two numbers a and b, such that the new sequence which has n+2 terms, is an arithmetic sequence, then the common difference of the sequence is

  1. ×

    \dfrac{b-a}{n}

  2. \dfrac{b-a}{n+1}

  3. ×

    \dfrac{b-a}{n+2}

  4. ×

    \dfrac{a+b}{n+1}

Collected in the board: Arithmetic sequence

Steven Zheng posted 1 month ago


Answer

  1. Let q be the common difference of the arithmetic sequence

    a_1 = a

    a_n = a_1+(n-1)q

    a_{n+2} = a+(n+1)q = b

    q = \dfrac{b-a}{n+1}

Steven Zheng posted 1 month ago

Scroll to Top