High School

1,11,111,1111,..., Determine if the given sequences represent an AP, assuming that the pattern continues. If it is an AP, find the nth term.

Answer :

The given sequence is not an arithmetic progression. The nth term can be expressed as 10^n - 1.

The given sequence 1, 11, 111, 1111 is not an arithmetic progression (AP) because the difference between consecutive terms is not constant.

However, we can observe that each term in the sequence can be expressed as a power of 10 minus 1, where the power of 10 is equal to the position of the term.

For example, the first term, 1, can be written as 10^1 - 1, the second term, 11, can be written as 10^2 - 1, and so on. So, the nth term of the sequence can be written as 10^n - 1.

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