What is the average of the first 1695 natural numbers?

The average of the first 1695 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 1695 natural numbers.

The first 1695 natural numbers are the whole numbers (integers) that start with 1 and end with 1695. To make a list of the first 1695 natural numbers, you simply count up to 1695.

To get the average of those 1695 numbers, you add them up and then divide the sum by 1695. 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 = 1695 in our formula, we get the average of the first 1695 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((1695 × (1695 + 1)) ÷ 2) ÷ 1695
avg = ((1695 × 1696) ÷ 2) ÷ 1695
avg = (2874720 ÷ 2) ÷ 1695
avg = 1437360 ÷ 1695
average = 848

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