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The nth term of an arithmetic progression (AP) is given by [tex]2n - 1[/tex]. Find the 20th term and describe the AP.

Answer :

Final answer:

The 20th term of the arithmetic progression with the nth term represented by the formula 2n-1 is 39. The AP is an increasing series with a common difference of 2, starting from 1 to 39.

Explanation:

The nth term of an arithmetic progression (AP) is represented by the formula 2n-1. Thus, to find the 20th term, we would substitute the value of n as 20 in the formula.

Let's calculate:

2*20 - 1 = 40 - 1 = 39

So, the 20th term of this AP is 39.

As this is an AP, the common difference can be found by subtracting the (n-1)th term from the nth term. In this case, we would find it by: 2n-1 - [2(n-1) - 1]

Let's calculate:

2n - 1 - [2n - 2 - 1] = 2

Hence, every term of the sequence is 2 more than the previous term, so the sequence (or AP) is 1, 3, 5, 7, 9, ..., 39.

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