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Geometric Sequences — Explicit Formula

A geometric sequence multiplies by a constant ratio r each time. Explicit form a(n) = a₁ · rⁿ⁻¹.

Algebra 1Common Core HSF-BF.A.2F-BFVerified correct ✓

Worked examples

A geometric sequence has first term a₁ = 5 and common ratio r = 3. Find the 2th term.
Answer: 15
A geometric sequence has first term a₁ = 1 and common ratio r = 3. Find the 4th term.
Answer: 27

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