Calculate the total of the first 50 terms that are shared between the arithmetic sequence 12, 16, 20, ... and the arithmetic sequence 10, 16, 22, ...?

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14,500

15,000

15,500

Correct

17,540

20,550

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Official Explanation

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The first sequence is an arithmetic progression (AP) with a common difference of 4, while the second sequence is an AP with a common difference of 6. The first common term is 16. The next common term can be found by adding the least common multiple (LCM) of the common differences of the two sequences to the first common…

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What this question tests

What it tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Common trap

Applying the order of operations out of sequence or rounding intermediate values before the final step.