Sum of odd numbers from 1 to 164
What is the sum of odd numbers from 1 to 164? Here we will show you step-by-step how to calculate the sum of odd numbers from 1 to 164.
Step 1) We start by finding the first (F) and last (L) odd numbers from 1 to 164. It is easy to do that by simply looking at the numbers. The first odd number is 1, and the last odd number is 163.
F = 1
L = 163
Step 2) Next, we calculate the total odd numbers (T) there are from 1 to 164, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (163 - 1 + 2) ÷ 2
T = 164 ÷ 2
T = 82
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 164, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (82 ÷ 2) × (2 × 1 + (2 × (82 - 1))
Sum = 41 × (2 + 162)
Sum = 41 × 164
Sum = 6724
Sum of odd numbers from 1 to 164 = 6724
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.