What is the sum of odd numbers from 4 to 189? Here we will show you step-by-step how to calculate the sum of odd numbers from 4 to 189.
Step 1) We start by finding the first (F) and last (L) odd numbers from 4 to 189. It is easy to do that by simply looking at the numbers. The first odd number is 5, and the last odd number is 189.
F = 5
L = 189
Step 2) Next, we calculate the total odd numbers (T) there are from 4 to 189, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (189 - 5 + 2) ÷ 2
T = 186 ÷ 2
T = 93
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 4 to 189, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (93 ÷ 2) × (2 × 5 + (2 × (93 - 1))
Sum = 46.5 × (10 + 184)
Sum = 46.5 × 194
Sum = 9021
Sum of odd numbers from 4 to 189 = 9021
Sum of Odd Numbers Calculator
Please use the tool below to calculate the sum of odd numbers for another set of numbers.