What is the sum of odd numbers from 122 to 161? Here we will show you step-by-step how to calculate the sum of odd numbers from 122 to 161.
Step 1) We start by finding the first (F) and last (L) odd numbers from 122 to 161. It is easy to do that by simply looking at the numbers. The first odd number is 123, and the last odd number is 161.
F = 123
L = 161
Step 2) Next, we calculate the total odd numbers (T) there are from 122 to 161, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (161 - 123 + 2) ÷ 2
T = 40 ÷ 2
T = 20
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 161, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (20 ÷ 2) × (2 × 123 + (2 × (20 - 1))
Sum = 10 × (246 + 38)
Sum = 10 × 284
Sum = 2840
Sum of odd numbers from 122 to 161 = 2840
Sum of Odd Numbers Calculator
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