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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).
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