What is the sum of even numbers from 19 to 149? Here we will show you step-by-step how to calculate the sum of even numbers from 19 to 149.
Step 1) We start by finding the first (F) and last (L) even numbers from 19 to 149. It is easy to do that by simply looking at the numbers. The first even number is 20, and the last even number is 148.
F = 20
L = 148
Step 2) Next, we calculate the total even numbers (T) there are from 19 to 149, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (148 - 20 + 2) ÷ 2
T = 130 ÷ 2
T = 65
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 19 to 149, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (65 ÷ 2) × (2 × 20 + (2 × (65 - 1))
Sum = 32.5 × (40 + 128)
Sum = 32.5 × 168
Sum = 5460
Sum of even numbers from 19 to 149 = 5460
Sum of Even Numbers Calculator
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