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The second term of a geometric sequence is 6. The common ratio of the sequence is two-thirds. Write the first five terms of the sequence and write a rule for the sequence.
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The second term of a geometric sequence is 6. The common ratio of the sequence is two-thirds. Write the first five terms of the sequence and write a rule for the sequence.

User Foredoomed
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1 Answer

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a2 = 6 = a1*(2/3)
a1 = 6/(2/3) = 9

The rule for the sequence is
.. an = 9*(2/3)^(n -1)

The first 5 terms are
.. 9, 6, 4, 8/3, 16/9
User Paramasivan
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