What is the sum of even numbers from 30 to 164? Here we will show you step-by-step how to calculate the sum of even numbers from 30 to 164.
Step 1) We start by finding the first (F) and last (L) even numbers from 30 to 164. It is easy to do that by simply looking at the numbers. The first even number is 30, and the last even number is 164.
F = 30
L = 164
Step 2) Next, we calculate the total even numbers (T) there are from 30 to 164, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (164 - 30 + 2) ÷ 2
T = 136 ÷ 2
T = 68
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 164, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (68 ÷ 2) × (2 × 30 + (2 × (68 - 1))
Sum = 34 × (60 + 134)
Sum = 34 × 194
Sum = 6596
Sum of even numbers from 30 to 164 = 6596
Sum of Even Numbers Calculator
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