What is the sum of odd numbers from 1 to 103? Here we will show you step-by-step how to calculate the sum of odd numbers from 1 to 103.
Step 1) We start by finding the first (F) and last (L) odd numbers from 1 to 103. It is easy to do that by simply looking at the numbers. The first odd number is 1, and the last odd number is 103.
F = 1
L = 103
Step 2) Next, we calculate the total odd numbers (T) there are from 1 to 103, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (103 - 1 + 2) ÷ 2
T = 104 ÷ 2
T = 52
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 1 to 103, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (52 ÷ 2) × (2 × 1 + (2 × (52 - 1))
Sum = 26 × (2 + 102)
Sum = 26 × 104
Sum = 2704
Sum of odd numbers from 1 to 103 = 2704
Sum of Odd Numbers Calculator
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