*It was developed as a visual bridge between two incompatible scales, the imperial and the metric system.*It is based on the height of a man with his arm raised.Try it risk-free After completing this lesson, you will be able to recognize an arithmetic sequence.

With the Modulor, Le Corbusier sought to introduce a scale of visual measures that would unite two virtually incompatible systems: the Anglo Saxon foot and inch and the French metric system.

Whilst he was intrigued by ancient civilisations who used measuring systems linked to the human body: elbow (cubit), finger (digit), thumb (inch) etc., he was troubled by the metre as a measure that was a forty-millionth part of the meridian of the earth.

Let's look at a couple of examples of an arithmetic sequence: 7, 11, 15, 19, …

6, 9, 12, 15, 18 The first example starts at the number seven, and the constant difference between consecutive terms is four.

The common difference in the following sequence is -2.5. Now, let's look at a non-example: 3, 8, 15, 24, 35, … The nth term of a sequence will be represented by a(n). We can see that the common difference between consecutive terms is 5. We can extend the list as follows until we get to the 7th term: -3, 2, 7, 12, 17, 22, 27, … Let's take the same sequence from the previous example, except we now have to find the 33rd term or a(33).

This is not an arithmetic sequence because the difference between consecutive terms is not the same. For instance, the 1st term of a sequence is a(1) and the 23rd term of a sequence is a(23). We could use the same method as before, but it will require lengthy work. To get from a(1) to a(33), we would need to add 32 consecutive terms (33 - 1 = 32).

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The Modulor is an anthropometric scale of proportions devised by the Swiss-born French architect Le Corbusier (1887–1965).

## Comments Fibonacci Numbers Essay

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