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AMC / AIME · Arithmetic Sequences · Medium

Arithmetic Sequences: How many terms of math are positive?

Common differences.

Try the problem

How many terms of 100,94,88,…100,94,88,\ldots are positive?

Hint and answer

Concept to use

Sums.

Hint

For sums, pair first and last terms or use Sn=n2(a1+an)S_n=\frac n2(a_1+a_n).

Answer

17

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