8.3 Geometric sequences
Unit 8 · Sequences and series
Ideas in this lesson
Common ratios
Divide a term by its preceding nonzero term and check that the ratio is constant.
Find a geometric term
Multiply the first term by the common ratio raised to one less than the term index.
Recover geometric information
A ratio across several positions is a power of the common ratio; use any stated sign restriction.
Geometric means
A positive geometric mean is the positive square root of the product of its neighboring positive terms.
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