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21 January, 07:58

In the sequence generated by the formula an = (-1) ^n+1 (5) ^n, which of the following terms has the greatest value? Assume an > 0.

a. an

b. an+5

c. an+10

d. an+15

+2
Answers (1)
  1. 21 January, 09:56
    0
    c a (n+10)

    Step-by-step explanation:

    [ (-1) ^ (n+1) ] * (5^n)

    an > 0

    a (n+5) = (-1) ⁵ * 5^ (n+5) < 0

    a (n+10) = (-1) ¹⁰ * 5^ (n+10) > 0

    a (n+15) = (-1) ¹⁵ * 5^ (n+15) < 0

    Since a^n is positive, n is even

    Odd powers of - 1 are negative
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