What is the sum of odd numbers from 20 to 109? Here we will show you step-by-step how to calculate the sum of odd numbers from 20 to 109.
Step 1) We start by finding the first (F) and last (L) odd numbers from 20 to 109. It is easy to do that by simply looking at the numbers. The first odd number is 21, and the last odd number is 109.
F = 21
L = 109
Step 2) Next, we calculate the total odd numbers (T) there are from 20 to 109, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (109 - 21 + 2) ÷ 2
T = 90 ÷ 2
T = 45
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 20 to 109, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (45 ÷ 2) × (2 × 21 + (2 × (45 - 1))
Sum = 22.5 × (42 + 88)
Sum = 22.5 × 130
Sum = 2925
Sum of odd numbers from 20 to 109 = 2925
Sum of Odd Numbers Calculator
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