Sum of odd numbers from 1 to 161
What is the sum of odd numbers from 1 to 161? Here we will show you step-by-step how to calculate the sum of odd numbers from 1 to 161.
Step 1) We start by finding the first (F) and last (L) odd numbers from 1 to 161. It is easy to do that by simply looking at the numbers. The first odd number is 1, and the last odd number is 161.
F = 1
L = 161
Step 2) Next, we calculate the total odd numbers (T) there are from 1 to 161, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (161 - 1 + 2) ÷ 2
T = 162 ÷ 2
T = 81
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 161, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (81 ÷ 2) × (2 × 1 + (2 × (81 - 1))
Sum = 40.5 × (2 + 160)
Sum = 40.5 × 162
Sum = 6561
Sum of odd numbers from 1 to 161 = 6561
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.