What is the average of the first 2070 natural numbers?

The average of the first 2070 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 2070 natural numbers.

The first 2070 natural numbers are the whole numbers (integers) that start with 1 and end with 2070. To make a list of the first 2070 natural numbers, you simply count up to 2070.

To get the average of those 2070 numbers, you add them up and then divide the sum by 2070. 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 = 2070 in our formula, we get the average of the first 2070 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((2070 × (2070 + 1)) ÷ 2) ÷ 2070
avg = ((2070 × 2071) ÷ 2) ÷ 2070
avg = (4286970 ÷ 2) ÷ 2070
avg = 2143485 ÷ 2070
average = 1035.5

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