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24 March, 07:46

Find the 6th term of the geometric sequence whose common ratio is 1/3 and whose first term is 2.

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  1. 24 March, 08:21
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    To solve for geometric sequences, use the formula an = a1r^ (n - 1), where a1 = first term, n = position number of given term, r = common ratio, and an = value of term in given position.

    For this problem, a1 = 2, n = 6, and r = 1/3. Now, plug those values into the equation and solve.

    a6 = 2 (1/3) ^ (6 - 1)

    a6 = 2 (1/3) ^ (5)

    a6 = 2 (0.00411522633)

    a6 = 0.00823045267

    I hope this answers your question.
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