Question

The sum of all odd integers between 2 and 100 divisible by 3 is:

• A. 532
• B. 642
• C. 713
• D. 867

Hint:

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.

Answer 1

The Correct Option is D

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.