What is the sum of even numbers from 30 to 160? Here we will show you step-by-step how to calculate the sum of even numbers from 30 to 160.
Step 1) We start by finding the first (F) and last (L) even numbers from 30 to 160. It is easy to do that by simply looking at the numbers. The first even number is 30, and the last even number is 160.
F = 30
L = 160
Step 2) Next, we calculate the total even numbers (T) there are from 30 to 160, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (160 - 30 + 2) ÷ 2
T = 132 ÷ 2
T = 66
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 30 to 160, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (66 ÷ 2) × (2 × 30 + (2 × (66 - 1))
Sum = 33 × (60 + 130)
Sum = 33 × 190
Sum = 6270
Sum of even numbers from 30 to 160 = 6270
Sum of Even Numbers Calculator
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