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1 November, 06:31

What is the 6th term in the sequence described by the following recursive formula?

a1=9

an=an-1-4

A) a6=-7

B) a6=-15

C) a6=-8

D) a6=-11

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Answers (1)
  1. 1 November, 09:17
    0
    Correct answer is: D) a₆ = - 11

    Step-by-step explanation:

    Given:

    a₁ = 9 and aₙ = aₙ₋₁ - 4

    We know it is

    a₆ = a₅ + d also it is given a₆ = a₅ - 4

    When we equate the right sides of equality we get:

    a₅ + d = a₅ - 4 = > d = - 4

    We also know it is a₆ = a₁ + 5 d

    Now we will find a₆

    a₆ = 9 + 5 (-4) = 9 - 20 = - 11

    a₆ = - 11

    God with you!
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