What is the average of the first 1387 natural numbers?

The average of the first 1387 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1387 natural numbers.

The first 1387 natural numbers are the whole numbers (integers) that start with 1 and end with 1387. To make a list of the first 1387 natural numbers, you simply count up to 1387.

To get the average of those 1387 numbers, you add them up and then divide the sum by 1387. We created a formula that can calculate the average of any sequence of natural numbers starting with 1. Here is the formula to calculate the average (avg) of the first n natural numbers:

avg = ((n × (n + 1)) ÷ 2) ÷ n

When we enter n = 1387 in our formula, we get the average of the first 1387 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1387 × (1387 + 1)) ÷ 2) ÷ 1387
avg = ((1387 × 1388) ÷ 2) ÷ 1387
avg = (1925156 ÷ 2) ÷ 1387
avg = 962578 ÷ 1387
average = 694

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