What is the sum of odd numbers from 2 to 90? Here we will show you step-by-step how to calculate the sum of odd numbers from 2 to 90.
Step 1) We start by finding the first (F) and last (L) odd numbers from 2 to 90. It is easy to do that by simply looking at the numbers. The first odd number is 3, and the last odd number is 89.
F = 3
L = 89
Step 2) Next, we calculate the total odd numbers (T) there are from 2 to 90, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (89 - 3 + 2) ÷ 2
T = 88 ÷ 2
T = 44
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 2 to 90, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (44 ÷ 2) × (2 × 3 + (2 × (44 - 1))
Sum = 22 × (6 + 86)
Sum = 22 × 92
Sum = 2024
Sum of odd numbers from 2 to 90 = 2024
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.