The sum of the positive odd integers less than 50
there are 49 of them, so
49*50/2
To find the sum of the positive odd integers less than 50, we need to add up all the odd numbers between 1 and 50.
First, let's list out all the odd numbers between 1 and 50:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47
Now let's add them up:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 + 47
To find the sum, we can use the formula for the sum of an arithmetic series:
Sum = (n/2)(first term + last term)
In this case, the first term is 1, the last term is 47, and the number of terms (n) is 24 (since there are 24 odd numbers between 1 and 47).
Plugging these values into the formula, we get:
Sum = (24/2)(1 + 47)
= 12(48)
= 576
Therefore, the sum of the positive odd integers less than 50 is 576.
To find the sum of the positive odd integers less than 50, you can use the concept of an arithmetic series.
First, let's write down all the positive odd integers less than 50:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47
Next, you need to find the total number of terms in this sequence. In this case, there are 24 terms.
The formula to find the sum of an arithmetic series is:
Sum = (n/2)(first term + last term)
where n is the total number of terms.
In this case, the first term is 1 (the smallest odd integer less than 50) and the last term is 47 (the largest odd integer less than 50).
Plugging these values into the formula, we get:
Sum = (24/2)(1 + 47)
= 12 * 48
= 576
Therefore, the sum of the positive odd integers less than 50 is 576.