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26 March, 22:34

Write a rule for the nth term of the geometric sequence that have the following two terms.

a1 = 2 a3 = 50

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  1. 26 March, 23:31
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    Tn = 2 * ±5^ (n-1)

    where Tn is the nth term of the geometric sequence.

    Step-by-step explanation:

    The geometric sequence is one in which there are changes between consecutive terms as a result of a common ratio.

    A geometric sequence with a common ratio r and a as it's first term has an nth term defined as

    Tn = ar^n-1 as such, if a1 = 2 a3 = 50 then

    T3 = ar^3-1

    50 = 2 * r²

    r² = 25

    r = ±5

    The rule for the nth term may be written as

    Tn = 2 * ±5^ (n-1)
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