AMC / AIME · Geometric Sequences · Medium

Geometric Sequences: A ball bounces to half its previous height, beginning at math. Find its height after math bounces.

Common ratios.

Try the problem

A ball bounces to half its previous height, beginning at 1616. Find its height after 44 bounces.

Hint and answer

Concept to use

Finite sums.

Hint

Use the finite or infinite geometric-sum formula.

Answer

1

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