What is the sum of even numbers from 31 to 103? Here we will show you step-by-step how to calculate the sum of even numbers from 31 to 103.
Step 1) We start by finding the first (F) and last (L) even numbers from 31 to 103. It is easy to do that by simply looking at the numbers. The first even number is 32, and the last even number is 102.
F = 32
L = 102
Step 2) Next, we calculate the total even numbers (T) there are from 31 to 103, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (102 - 32 + 2) ÷ 2
T = 72 ÷ 2
T = 36
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 31 to 103, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (36 ÷ 2) × (2 × 32 + (2 × (36 - 1))
Sum = 18 × (64 + 70)
Sum = 18 × 134
Sum = 2412
Sum of even numbers from 31 to 103 = 2412
Sum of Even Numbers Calculator
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