sum of 1 to 198 odd positive intigers

there are 99 odd numbers to add

Recall that the sum of the first n odd numbers is n^2.

hirap ako sa times sa even intigers

To find the sum of the odd positive integers from 1 to 198, we can use the formula for the sum of an arithmetic series.

First, let's find the number of terms in the series. We can observe that the sequence of odd positive integers is an arithmetic sequence with a common difference of 2. The first term is 1, and the last term is 198.

To find the number of terms in an arithmetic series, we can use the formula:

Number of Terms (n) = (last term - first term) / common difference + 1
= (198 - 1) / 2 + 1
= 198 / 2 + 1
= 99 + 1
= 100

Therefore, there are 100 terms in the sequence.

Now, we can use the formula for the sum of an arithmetic series:

Sum = (n/2) * (first term + last term)
= (100/2) * (1 + 198)
= 50 * 199
= 9950

So, the sum of the odd positive integers from 1 to 198 is 9950.