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8 December, 15:05

A geometric sequence is represented by an = a1rn-1. What is the 7th term of a geometric sequence in which a1 = - 243 and the common ratio is - 1/3?

-1/3

-1/9

1/9

1/3

+4
Answers (1)
  1. 8 December, 15:07
    0
    Answer: the 7th term of the geometric sequence is 1/3

    Step-by-step explanation:

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

    an = a1r^ (n - 1)

    Where

    a represents the first term of the sequence.

    r represents the common ratio.

    n represents the number of terms.

    From the information given,

    a1 = - 243

    r = - 1/3

    n = 7

    The 7th term, a7 is

    a7 = - 243 * - 1/3^ (7 - 1)

    a7 = - 243 * - 1/3^6

    a7 = - 3^5 * - 3^6

    a7 = 3^ (5 - 6)

    a7 = 3^ - 1

    a7 = 1/3
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