Multiple Choice Question (MCQ)

Determine whether each of the following sequences is an arithmetic sequence. If it is, write down its common difference.

  1. ×

    1, 8, 27, 64

  2. ✓

    5, −12, −29, −46

  3. ×

    3.2, 3.23, 3.232, 3.232 3

  4. ×

    \dfrac{2}{3},\dfrac{1}{3},\dfrac{1}{3},\dfrac{1}{6}

Collected in the board: Arithmetic sequence

Steven Zheng posted 3 years ago

Answer

  1. Let a_n be the general terms

    a_2-a_1 = -12-5 = -17

    a_3-a_2 = -29-(-12)=-17

    a_4-a_3 = -46-(-29) = -17

    which shows the series 5, −12, −29, −46 is an arithmetic sequence with common difference -17

Steven Zheng posted 2 years ago

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