Sum of odd numbers from 1 to 159
What is the sum of odd numbers from 1 to 159? Here we will show you step-by-step how to calculate the sum of odd numbers from 1 to 159.
Step 1) We start by finding the first (F) and last (L) odd numbers from 1 to 159. It is easy to do that by simply looking at the numbers. The first odd number is 1, and the last odd number is 159.
F = 1
L = 159
Step 2) Next, we calculate the total odd numbers (T) there are from 1 to 159, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (159 - 1 + 2) ÷ 2
T = 160 ÷ 2
T = 80
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 159, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (80 ÷ 2) × (2 × 1 + (2 × (80 - 1))
Sum = 40 × (2 + 158)
Sum = 40 × 160
Sum = 6400
Sum of odd numbers from 1 to 159 = 6400
Sum of Odd Numbers Calculator
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