What is the average of odd numbers from 1 to 2979? Here we will show you how to calculate the average of odd numbers from 1 to 2979.
To find the average of the odd numbers from 1 to 2979, we first calculate how many odd numbers there are from 1 to 2979. Then, we calculate the sum of odd numbers from 1 to 2979. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 2979, and the odd numbers within that range are from 1 to 2979. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 2979.
Step 1) Calculate the total number of odd numbers from 1 to 2979
Here we calculate the total number of odd numbers from 1 to 2979 by entering the first and last odd number in the sequence into our formula. Here is the formula and the math:
tot = (last - first + 2) ÷ 2
tot = (2979 - 1 + 2) ÷ 2
tot = 2980 ÷ 2
tot = 1490
Total odd numbers from 1 to 2979 = 1490
Step 2) Calculate the sum of odd numbers from 1 to 2979
To calculate the sum of odd numbers from 1 to 2979, you enter the total odd numbers (tot) from Step 1 and the first odd number in the sequence into our formula. Here is the formula and the math:
sum = (tot ÷ 2) × (2 × first + (2 × (tot - 1))
sum = (1490 ÷ 2) × (2 × 1 + (2 × (1490 - 1))
sum = 745 × (2 + 2978)
sum = 745 × 2980
sum = 2220100
Sum of odd numbers from 1 to 2979 = 2220100
Step 3) Calculate the average of odd numbers from 1 to 2979
Almost done! Now we can calculate the average of odd numbers from 1 to 2979 by dividing the sum of odd numbers from Step 2 by the total odd numbers from Step 1. Here is the formula, the math, and the answer:
Average = sum ÷ tot
Average = 2220100 ÷ 1490
Average = 1490
Average of odd numbers from 1 to 2979 = 1490
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.