What is the sum of even numbers from 165 to 169? Here we will show you step-by-step how to calculate the sum of even numbers from 165 to 169.
Step 1) We start by finding the first (F) and last (L) even numbers from 165 to 169. It is easy to do that by simply looking at the numbers. The first even number is 166, and the last even number is 168.
F = 166
L = 168
Step 2) Next, we calculate the total even numbers (T) there are from 165 to 169, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (168 - 166 + 2) ÷ 2
T = 4 ÷ 2
T = 2
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 165 to 169, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (2 ÷ 2) × (2 × 166 + (2 × (2 - 1))
Sum = 1 × (332 + 2)
Sum = 1 × 334
Sum = 334
Sum of even numbers from 165 to 169 = 334
Sum of Even Numbers Calculator
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