What is the sum of even numbers from 57 to 170? Here we will show you step-by-step how to calculate the sum of even numbers from 57 to 170.
Step 1) We start by finding the first (F) and last (L) even numbers from 57 to 170. It is easy to do that by simply looking at the numbers. The first even number is 58, and the last even number is 170.
F = 58
L = 170
Step 2) Next, we calculate the total even numbers (T) there are from 57 to 170, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (170 - 58 + 2) ÷ 2
T = 114 ÷ 2
T = 57
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 57 to 170, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (57 ÷ 2) × (2 × 58 + (2 × (57 - 1))
Sum = 28.5 × (116 + 112)
Sum = 28.5 × 228
Sum = 6498
Sum of even numbers from 57 to 170 = 6498
Sum of Even Numbers Calculator
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