What is the sum of odd numbers from 4 to 106? Here we will show you step-by-step how to calculate the sum of odd numbers from 4 to 106.
Step 1) We start by finding the first (F) and last (L) odd numbers from 4 to 106. It is easy to do that by simply looking at the numbers. The first odd number is 5, and the last odd number is 105.
F = 5
L = 105
Step 2) Next, we calculate the total odd numbers (T) there are from 4 to 106, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (105 - 5 + 2) ÷ 2
T = 102 ÷ 2
T = 51
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 106, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (51 ÷ 2) × (2 × 5 + (2 × (51 - 1))
Sum = 25.5 × (10 + 100)
Sum = 25.5 × 110
Sum = 2805
Sum of odd numbers from 4 to 106 = 2805
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.