What is the sum of odd numbers from 58 to 184? Here we will show you step-by-step how to calculate the sum of odd numbers from 58 to 184.
Step 1) We start by finding the first (F) and last (L) odd numbers from 58 to 184. It is easy to do that by simply looking at the numbers. The first odd number is 59, and the last odd number is 183.
F = 59
L = 183
Step 2) Next, we calculate the total odd numbers (T) there are from 58 to 184, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (183 - 59 + 2) ÷ 2
T = 126 ÷ 2
T = 63
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 58 to 184, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (63 ÷ 2) × (2 × 59 + (2 × (63 - 1))
Sum = 31.5 × (118 + 124)
Sum = 31.5 × 242
Sum = 7623
Sum of odd numbers from 58 to 184 = 7623
Sum of Odd Numbers Calculator
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