What is the sum of even numbers from 100 to 161? Here we will show you step-by-step how to calculate the sum of even numbers from 100 to 161.
Step 1) We start by finding the first (F) and last (L) even numbers from 100 to 161. It is easy to do that by simply looking at the numbers. The first even number is 100, and the last even number is 160.
F = 100
L = 160
Step 2) Next, we calculate the total even numbers (T) there are from 100 to 161, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (160 - 100 + 2) ÷ 2
T = 62 ÷ 2
T = 31
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 100 to 161, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (31 ÷ 2) × (2 × 100 + (2 × (31 - 1))
Sum = 15.5 × (200 + 60)
Sum = 15.5 × 260
Sum = 4030
Sum of even numbers from 100 to 161 = 4030
Sum of Even Numbers Calculator
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