What is the sum of even numbers from 48 to 87? Here we will show you step-by-step how to calculate the sum of even numbers from 48 to 87.
Step 1) We start by finding the first (F) and last (L) even numbers from 48 to 87. It is easy to do that by simply looking at the numbers. The first even number is 48, and the last even number is 86.
F = 48
L = 86
Step 2) Next, we calculate the total even numbers (T) there are from 48 to 87, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (86 - 48 + 2) ÷ 2
T = 40 ÷ 2
T = 20
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 48 to 87, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (20 ÷ 2) × (2 × 48 + (2 × (20 - 1))
Sum = 10 × (96 + 38)
Sum = 10 × 134
Sum = 1340
Sum of even numbers from 48 to 87 = 1340
Sum of Even Numbers Calculator
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