AMC / AIME · Geometric Sequences · Hard

Geometric Sequences: Three consecutive geometric terms have product math. Find the middle term.

Common ratios.

Try the problem

Three consecutive geometric terms have product 17281728. Find the middle term.

Hint and answer

Concept to use

Infinite $|r|<1$.

Hint

Use ratios for terms and the finite or infinite geometric-sum formula.

Answer

12

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