What is the sum of odd numbers from 122 to 188? Here we will show you step-by-step how to calculate the sum of odd numbers from 122 to 188.
Step 1) We start by finding the first (F) and last (L) odd numbers from 122 to 188. It is easy to do that by simply looking at the numbers. The first odd number is 123, and the last odd number is 187.
F = 123
L = 187
Step 2) Next, we calculate the total odd numbers (T) there are from 122 to 188, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (187 - 123 + 2) ÷ 2
T = 66 ÷ 2
T = 33
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 122 to 188, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (33 ÷ 2) × (2 × 123 + (2 × (33 - 1))
Sum = 16.5 × (246 + 64)
Sum = 16.5 × 310
Sum = 5115
Sum of odd numbers from 122 to 188 = 5115
Sum of Odd Numbers Calculator
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