What is the sum of odd numbers from 74 to 157? Here we will show you step-by-step how to calculate the sum of odd numbers from 74 to 157.
Step 1) We start by finding the first (F) and last (L) odd numbers from 74 to 157. It is easy to do that by simply looking at the numbers. The first odd number is 75, and the last odd number is 157.
F = 75
L = 157
Step 2) Next, we calculate the total odd numbers (T) there are from 74 to 157, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (157 - 75 + 2) ÷ 2
T = 84 ÷ 2
T = 42
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 74 to 157, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (42 ÷ 2) × (2 × 75 + (2 × (42 - 1))
Sum = 21 × (150 + 82)
Sum = 21 × 232
Sum = 4872
Sum of odd numbers from 74 to 157 = 4872
Sum of Odd Numbers Calculator
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