Question

example of arithmetic sequence with mixed numbers finding the nth term

Answer 1

An example of an arithmetic sequence with mixed numbers is:

1, 2.5, 4, 5.5, 7, 8.5, ...

To find the nth term of this sequence, we can use the formula for an arithmetic sequence:

nth term = first term + (n - 1) * common difference

In this sequence, the first term is 1 and the common difference is 1.5 (the difference between consecutive terms).

So, the nth term would be:

nth term = 1 + (n - 1) * 1.5

For example, if we wanted to find the 4th term, we would substitute n = 4 into the formula:

4th term = 1 + (4 - 1) * 1.5
= 1 + 3 * 1.5
= 1 + 4.5
= 5.5

Therefore, the 4th term of this arithmetic sequence is 5.5.