What is the sum of odd numbers from 1 to 142? Here we will show you step-by-step how to calculate the sum of odd numbers from 1 to 142.
Step 1) We start by finding the first (F) and last (L) odd numbers from 1 to 142. It is easy to do that by simply looking at the numbers. The first odd number is 1, and the last odd number is 141.
F = 1
L = 141
Step 2) Next, we calculate the total odd numbers (T) there are from 1 to 142, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (141 - 1 + 2) ÷ 2
T = 142 ÷ 2
T = 71
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 1 to 142, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (71 ÷ 2) × (2 × 1 + (2 × (71 - 1))
Sum = 35.5 × (2 + 140)
Sum = 35.5 × 142
Sum = 5041
Sum of odd numbers from 1 to 142 = 5041
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.