What is the sum of odd numbers from 4 to 166? Here we will show you step-by-step how to calculate the sum of odd numbers from 4 to 166.
Step 1) We start by finding the first (F) and last (L) odd numbers from 4 to 166. It is easy to do that by simply looking at the numbers. The first odd number is 5, and the last odd number is 165.
F = 5
L = 165
Step 2) Next, we calculate the total odd numbers (T) there are from 4 to 166, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (165 - 5 + 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 4 to 166, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (81 ÷ 2) × (2 × 5 + (2 × (81 - 1))
Sum = 40.5 × (10 + 160)
Sum = 40.5 × 170
Sum = 6885
Sum of odd numbers from 4 to 166 = 6885
Sum of Odd Numbers Calculator
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