What is the sum of odd numbers from 42 to 104? Here we will show you step-by-step how to calculate the sum of odd numbers from 42 to 104.
Step 1) We start by finding the first (F) and last (L) odd numbers from 42 to 104. It is easy to do that by simply looking at the numbers. The first odd number is 43, and the last odd number is 103.
F = 43
L = 103
Step 2) Next, we calculate the total odd numbers (T) there are from 42 to 104, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (103 - 43 + 2) ÷ 2
T = 62 ÷ 2
T = 31
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 42 to 104, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (31 ÷ 2) × (2 × 43 + (2 × (31 - 1))
Sum = 15.5 × (86 + 60)
Sum = 15.5 × 146
Sum = 2263
Sum of odd numbers from 42 to 104 = 2263
Sum of Odd Numbers Calculator
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