22,500. 1 + 299 = 300, 3 + 297 = 300, 5 + 295 = 300,…147 + 153 = 300, 149 + 151= 300. There are 75 odd numbers pairs from 1 to 299, and each odd number pair equals 300. The total is 75 x 300 = 22,500.
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To find the sum of odd numbers from 1 to 299, we first need to identify how many odd numbers are in this range. Since odd numbers are spaced 2 numbers apart, we can use the formula: ((last number - first number) / 2) + 1. In this case, it would be ((299 - 1) / 2) + 1 = 150 odd numbers. The sum of an arithmetic series can be calculated using the formula: n/2 * (first number + last number), where n is the number of terms. Therefore, the sum of odd numbers from 1 to 299 would be 150/2 * (1 + 299) = 150 * 300 = 45,000.
The sum of consecutive integers will always be odd. Consecutive odd numbers will be even. 299 + 301 = 600
The sum of all the odd numbers from 1 through 100 is 10,000
The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc
100
The sum of the first 100 odd numbers (1 through 199) is 10000 (ten thou)