# When finding the nth term in an arithmetic sequence, how do I solve a sequence with fractions? For example {-4 4/5, -1 3/5 , 1 3/5 , 4 4/5 ,} When 4 4/5 is the 4th term what would the seventh term be and why is the final answer 72/5?

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When finding the nth term in an arithmetic sequence, how do I solve a sequence with fractions? For example {-4 4/5, -1 3/5 , 1 3/5 , 4 4/5 ,} When 4 4/5 is the 4th term what would the seventh term be and why is the final answer 72/5?

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Step 1

To justify that the seventh term of the given arithmetic sequence is 72/5 (given)

Step 2

To start with, an arithmetic sequence is a sequence of the form {a,a+d,a+2d,...} , where a and d are any numbers (integers, fractions, real numbers, positive, negative). There is no restriction on the type of numbers a and d.

Step 3

All the standard formulae hold for an arithmetic sequence even if the terms are fractions....

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