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2 June, 13:22

What is the explicit rule for the sequence in simplified form?

-1,-4,-7,-10,-13 ...

Question 12 options:

an=4-5n

an=-4-3n

an=2-3n

an=-6-5n

+4
Answers (1)
  1. 2 June, 14:01
    0
    an = 2 - 3n ⇒ The third answer

    Step-by-step explanation:

    ∵ a1 = - 1

    ∵ a2 = - 4

    ∵ a3 = - 7

    ∵ a2 - a1 = - 4 - - 1 = - 3

    ∵ a3 - a2 = - 7 - - 4 = - 3

    ∴ It is an arithmetic sequence with

    1st term = - 1 and constant difference = - 3

    ∵ The rule of any arithmetic is: an = a + (n - 1) d

    ∵ a = - 1 and d = - 3

    ∴ an = - 1 + (n - 1) (-3)

    ∴ an = - 1 - 3n + 3

    ∴ an = 2 - 3n ⇒ The third answer
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