AMC / AIME · Arithmetic Sequences · Medium

Arithmetic Sequences: Find the sum of all multiples of math from math through math.

Common differences.

Try the problem

Find the sum of all multiples of 77 from 77 through 7070.

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

385

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