A sequence {an} is given by: an = n2 - 1, n € N. Show that it is not an arithmetic progression (A.P)?

A sequence {a_n} is given by: a_n = n² - 1, n € N.

Show that it is not an arithmetic progression (A.P)?

Solutions

Expert Solution

Sol.

We will calculate by how much value each term is higher than the previous one and see if that value remains same.

In other words, we will calculate difference between different pairs of consecutive terms and check if it is common i.e. it really is the common difference.

To check that we proceed as follows:

Thus, the sequence a_n = n² - 1, is not an arithmetic progression (A.P) is proven

The sequence a_n = n² - 1, is not an arithmetic progression (A.P) is proven.

Shams answered 1 year ago

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