What is the sum of even numbers from 21 to 162? Here we will show you step-by-step how to calculate the sum of even numbers from 21 to 162.
Step 1) We start by finding the first (F) and last (L) even numbers from 21 to 162. It is easy to do that by simply looking at the numbers. The first even number is 22, and the last even number is 162.
F = 22
L = 162
Step 2) Next, we calculate the total even numbers (T) there are from 21 to 162, using a formula. Here is the formula and the math:
T = (L - F + 2) ÷ 2
T = (162 - 22 + 2) ÷ 2
T = 142 ÷ 2
T = 71
Step 3) Finally, we use the information from Step 1 and Step 2, and another formula, to calculate the sum of even numbers from 21 to 162, like this:
Sum = (T ÷ 2) × (2 × F + (2 × (T - 1))
Sum = (71 ÷ 2) × (2 × 22 + (2 × (71 - 1))
Sum = 35.5 × (44 + 140)
Sum = 35.5 × 184
Sum = 6532
Sum of even numbers from 21 to 162 = 6532
Sum of Even Numbers Calculator
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