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.
Learn more about Arithmetic Progression here:
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