AMC / AIME · Geometric Sequences · Medium

Geometric Sequences: A sequence has math and math. Find math if the ratio is positive.

Common ratios.

Try the problem

A sequence has a1=2a_1=2 and a4=54a_4=54. Find a2a_2 if the ratio is positive.

Hint and answer

Concept to use

Finite sums.

Hint

Use the finite or infinite geometric-sum formula.

Answer

6

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