Question:
The sum of all odd integers between 2 and 100 divisible by 3 is:
The sum of all odd integers between 2 and 100 divisible by 3 is:
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To find the sum of a series of numbers, list the numbers and add them, or use a sum formula if the series is arithmetic.
Updated On: Mar 26, 2025
- 532
- 642
- 713
- 867
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The Correct Option is D
Solution and Explanation
Step 1: The odd integers between 2 and 100 that are divisible by 3 are:
\[
3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93, 99
\]
Step 2: Sum these numbers:
\[
3 + 9 + 15 + 21 + 27 + 33 + 39 + 45 + 51 + 57 + 63 + 69 + 75 + 81 + 87 + 93 + 99 = 867
\]
Thus, the sum is 867.
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