Finding a geometric sequence

label Algebra
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Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27.

May 16th, 2015

Solve for the common ratio using the two terms given:
a(8) = ar⁷
a(6) = ar⁵
ar⁷ / ar⁵ = 216 / 12
r² = 18
r = √18

Find the seventh term by plugging it into the formula
a(7) = ra(6)
a(7) = √18 × 12
a(7) = 3√2 × 12
a(7) = 36√2 

        = 50.91

May 16th, 2015

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May 16th, 2015
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May 16th, 2015
Oct 20th, 2017
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