What is the average of even numbers from 1 to 141? Here we will show you how to calculate the average of even numbers from 1 to 141.
To find the average of the even numbers from 1 to 141, we first calculate how many even numbers there are from 1 to 141. Then, we calculate the sum of even numbers from 1 to 141. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 1 to 141, and the even numbers within that range are from 2 to 140. Therefore, the first even number in the sequence is 2, and the last even number in the sequence is 140.
Step 1) Calculate the total number of even numbers from 1 to 141
Here we calculate the total number of even numbers from 1 to 141 by entering the first and last even number in the sequence into our formula. Here is the formula and the math:
tot = (last - first + 2) ÷ 2
tot = (140 - 2 + 2) ÷ 2
tot = 140 ÷ 2
tot = 70
Total even numbers from 1 to 141 = 70
Step 2) Calculate the sum of even numbers from 1 to 141
To calculate the sum of even numbers from 1 to 141, you enter the total even numbers (tot) from Step 1 and the first even number in the sequence into our formula. Here is the formula and the math:
sum = (tot ÷ 2) × (2 × first + (2 × (tot - 1))
sum = (70 ÷ 2) × (2 × 2 + (2 × (70 - 1))
sum = 35 × (4 + 138)
sum = 35 × 142
sum = 4970
Sum of even numbers from 1 to 141 = 4970
Step 3) Calculate the average of even numbers from 1 to 141
Almost done! Now we can calculate the average of even numbers from 1 to 141 by dividing the sum of even numbers from Step 2 by the total even numbers from Step 1. Here is the formula, the math, and the answer:
Average = sum ÷ tot
Average = 4970 ÷ 70
Average = 71
Average of even numbers from 1 to 141 = 71
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.