What is the sum of odd numbers from 60 to 117? Here we will show you step-by-step how to calculate the sum of odd numbers from 60 to 117.
Step 1) We start by finding the first (F) and last (L) odd numbers from 60 to 117. It is easy to do that by simply looking at the numbers. The first odd number is 61, and the last odd number is 117.
F = 61
L = 117
Step 2) Next, we calculate the total odd numbers (T) there are from 60 to 117, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (117 - 61 + 2) ÷ 2
T = 58 ÷ 2
T = 29
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 60 to 117, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (29 ÷ 2) × (2 × 61 + (2 × (29 - 1))
Sum = 14.5 × (122 + 56)
Sum = 14.5 × 178
Sum = 2581
Sum of odd numbers from 60 to 117 = 2581
Sum of Odd Numbers Calculator
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