Which of the following is the sum of all the odd integers between 5 and 102? A. 2592
B. 2597
C. 2601
D. 2603

2601

Step-by-step explanation:

The integers between 5 and 102 are

7, 9, 11, 13, 15, 17,19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101

The sum of the odd intergers between 2 and 105 can be calculated as follows

= (N + 1/2)^2

= (101 + 1 /2) ^2

= (102/2)^2

= 51^2

= 2601

Hence the sum of the odd intergers between 5 and 102 is 2601

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