What is the sum of odd numbers from 2 to 145? Here we will show you step-by-step how to calculate the sum of odd numbers from 2 to 145.
Step 1) We start by finding the first (F) and last (L) odd numbers from 2 to 145. It is easy to do that by simply looking at the numbers. The first odd number is 3, and the last odd number is 145.
F = 3
L = 145
Step 2) Next, we calculate the total odd numbers (T) there are from 2 to 145, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (145 - 3 + 2) ÷ 2
T = 144 ÷ 2
T = 72
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 2 to 145, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (72 ÷ 2) × (2 × 3 + (2 × (72 - 1))
Sum = 36 × (6 + 142)
Sum = 36 × 148
Sum = 5328
Sum of odd numbers from 2 to 145 = 5328
Sum of Odd Numbers Calculator
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