example of finding the nth of arithmetic sequence with mixed numbers

Answer 1

Sure! Let's say we have an arithmetic sequence with the common difference of 1/2 and the first term is 1/4. We want to find the 10th term.

To find the nth term of an arithmetic sequence, you can use the formula:

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

So for this example, the common difference is 1/2 and the first term is 1/4. Plugging these values into the formula, we have:

10th term = 1/4 + (10 - 1) * 1/2
= 1/4 + 9/2
= 1/4 + 18/4
= (1 + 18)/4
= 19/4

Therefore, the 10th term of this arithmetic sequence with mixed numbers is 19/4.