Question 41

Mathematics Sequence And Series Hard

The sum of the integers between 200 and 400, that are multiples of 7, is:

(A) 8729
(B) 8700
(C) 8972
(D) 8279
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Multiples of 7 between 200 and 400: the first is 203 (7 × 29) and the last is 399 (7 × 57).

Number of terms = 57 − 29 + 1 = 29

Sum = \(\frac{29}{2}(203 + 399) = \frac{29 \times 602}{2} = 29 \times 301 = 8729\)

Answer: (A) 8729

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