find the sum of odd integers from 1 to 99
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Answer:
2500
Step-by-step explanation:
Considering the sum of the series
1 + 3 + 5 + 7 + ... + 93 + 95 + 97 + 99
Note that the numbers may be paired off ( 1 + 99 ) , ( 3 + 97 ) , ( 5 + 95 ) , each pair adding to 100 . There are 25 such pairs. So the sum equals 2500 ( 25 × 100 ) .
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