What is the sum of even numbers from 153 to 200? Here we will show you step-by-step how to calculate the sum of even numbers from 153 to 200.
Step 1) We start by finding the first (F) and last (L) even numbers from 153 to 200. It is easy to do that by simply looking at the numbers. The first even number is 154, and the last even number is 200.
F = 154
L = 200
Step 2) Next, we calculate the total even numbers (T) there are from 153 to 200, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (200 - 154 + 2) ÷ 2
T = 48 ÷ 2
T = 24
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 153 to 200, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (24 ÷ 2) × (2 × 154 + (2 × (24 - 1))
Sum = 12 × (308 + 46)
Sum = 12 × 354
Sum = 4248
Sum of even numbers from 153 to 200 = 4248
Sum of Even Numbers Calculator
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