Question

Find the sum of the odd integers from 3 to 99.

Answer 1

Explanation:

Answer 2

2499

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Use the formula for the sum of an arithmetic series. The sum of an arithmetic series is given by the formula:

• S = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term

Here, the first term a = 3, the last term l = 99, and the common difference d = 2 because we are dealing with odd integers.

We need to find the value of n, which we can calculate using the formula:

• n = (l - a)/d + 1

Substituting the values into the formula, we have:

• n = (99 - 3)/2 + 1 = 49, so there are 49 terms

Now, we can plug the values into the formula for the sum:

• S = (49/2)(3 + 99) = (49/2)(102) = 2499

Therefore, the sum of the odd integers from 3 to 99 is 2499.