Mathematics

This is an arithmetic sequence problem where you're summing installments that grow by a constant amount each month. The key insight is recognizing that the installments form an arithmetic progression: 2000, 2150, 2300, and so on for 12 terms. Rather than adding all 12 numbers individually, use the arithmetic series formula $S_n = \frac{n}{2}(a_1 + a_n)$, where you need the first term, last term, and count—this gives you the total in one clean calculation.

This is an arithmetic sequence problem where you're summing installments that grow by a constant amount each month. The key insight is recognizing that the installments form an arithmetic progression: 2000, 2150, 2300, and so on for 12 terms. Rather than adding all 12 numbers individually, use the arithmetic series formula $S_n = \frac{n}{2}(a_1 + a_n)$, where you need the first term, last term, and count—this gives you the total in one clean calculation.