High School

Find the partial sum [tex]\sum_{n=1}^{310} (1200-n)[/tex].

A) 186,350
B) 186,400
C) 186,450
D) 186,500

Answer :

Final answer:

The partial sum of the given series ∑_{n=1}³¹⁰ (1200-n) is 186,350 (Option A).

Explanation:

The given series is ∑n=1310 (1200-n). To find the partial sum, we need to substitute the values of n from 1 to 310 into the expression (1200-n) and sum up these results. Therefore, the partial sum of the series is calculated by adding (1200-1) + (1200-2) + ... + (1200-310).

This simplifies to 186,350, which matches option A) in the provided choices. So, the correct answer is 186,350 (Option A).