What is the sum of even numbers from 30 to 166? Here we will show you step-by-step how to calculate the sum of even numbers from 30 to 166.
Step 1) We start by finding the first (F) and last (L) even numbers from 30 to 166. It is easy to do that by simply looking at the numbers. The first even number is 30, and the last even number is 166.
F = 30
L = 166
Step 2) Next, we calculate the total even numbers (T) there are from 30 to 166, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (166 - 30 + 2) ÷ 2
T = 138 ÷ 2
T = 69
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 30 to 166, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (69 ÷ 2) × (2 × 30 + (2 × (69 - 1))
Sum = 34.5 × (60 + 136)
Sum = 34.5 × 196
Sum = 6762
Sum of even numbers from 30 to 166 = 6762
Sum of Even Numbers Calculator
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