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17 December, 08:15

Find the indicated term of the given geometric sequence.

a = - 5, r = - 2, n = 3

Question 16 options:

-20

-41

10

40

+3
Answers (1)
  1. 17 December, 09:00
    0
    Answer: the first option is correct.

    Step-by-step explanation:

    In a geometric sequence, each consecutive term differ by a common ratio, r.

    The formula for determining the nth term of a geometric progression is expressed as

    an = a1r^ (n - 1)

    Where

    a1 represents the first term of the sequence.

    r represents the common ratio.

    n represents the number of terms.

    From the information given,

    a = - 5

    r = - 2

    n = 3

    Therefore, the 3rd term, T3 is

    T3 = - 5 * - 2^ (3 - 1)

    T3 = - 5 * - 2^2

    T3 = - 5 * 4

    T3 = - 20
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