If the sum of the first 5 terms of an arithmetic progression is 50, what is the

If the sum of the first 5 terms of an arithmetic progression is 50, what is the average of these terms? (2023)

If the sum of the first 5 terms of an arithmetic progression is 50, what is the average of these terms? (2023)

Step 1: Understand that an arithmetic progression (AP) is a sequence of numbers where the difference between consecutive terms is constant.
Step 2: Know that the sum of the first n terms of an AP is denoted as S_n.
Step 3: In this question, we are given that the sum of the first 5 terms (S_5) is 50.
Step 4: The average of the first n terms is calculated using the formula: Average = S_n / n.
Step 5: Here, n is 5, so we will use the formula: Average = S_5 / 5.
Step 6: Substitute the value of S_5 into the formula: Average = 50 / 5.
Step 7: Calculate the average: 50 divided by 5 equals 10.
Step 8: Conclude that the average of the first 5 terms of the arithmetic progression is 10.

No concepts available.