What is the sum of odd numbers from 4 to 198? Here we will show you step-by-step how to calculate the sum of odd numbers from 4 to 198.
Step 1) We start by finding the first (F) and last (L) odd numbers from 4 to 198. It is easy to do that by simply looking at the numbers. The first odd number is 5, and the last odd number is 197.
F = 5
L = 197
Step 2) Next, we calculate the total odd numbers (T) there are from 4 to 198, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (197 - 5 + 2) ÷ 2
T = 194 ÷ 2
T = 97
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 4 to 198, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (97 ÷ 2) × (2 × 5 + (2 × (97 - 1))
Sum = 48.5 × (10 + 192)
Sum = 48.5 × 202
Sum = 9797
Sum of odd numbers from 4 to 198 = 9797
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.