What is the sum of even numbers from 51 to 148? Here we will show you step-by-step how to calculate the sum of even numbers from 51 to 148.
Step 1) We start by finding the first (F) and last (L) even numbers from 51 to 148. It is easy to do that by simply looking at the numbers. The first even number is 52, and the last even number is 148.
F = 52
L = 148
Step 2) Next, we calculate the total even numbers (T) there are from 51 to 148, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (148 - 52 + 2) ÷ 2
T = 98 ÷ 2
T = 49
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 51 to 148, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (49 ÷ 2) × (2 × 52 + (2 × (49 - 1))
Sum = 24.5 × (104 + 96)
Sum = 24.5 × 200
Sum = 4900
Sum of even numbers from 51 to 148 = 4900
Sum of Even Numbers Calculator
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