What is the sum of odd numbers from 20 to 189? Here we will show you step-by-step how to calculate the sum of odd numbers from 20 to 189.
Step 1) We start by finding the first (F) and last (L) odd numbers from 20 to 189. It is easy to do that by simply looking at the numbers. The first odd number is 21, and the last odd number is 189.
F = 21
L = 189
Step 2) Next, we calculate the total odd numbers (T) there are from 20 to 189, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (189 - 21 + 2) ÷ 2
T = 170 ÷ 2
T = 85
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of odd numbers from 20 to 189, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (85 ÷ 2) × (2 × 21 + (2 × (85 - 1))
Sum = 42.5 × (42 + 168)
Sum = 42.5 × 210
Sum = 8925
Sum of odd numbers from 20 to 189 = 8925
Sum of Odd Numbers Calculator
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