Question

What is the rule for the nth term of the arithmatic sequence given below:

5/2, 4, 11/2, 7,..……

Answer 1

an = 5/2 +3/2(n -1)

Explanation:

The common difference is ...

4 -5/2 = 3/2

The general rule is ...

an = a1 +d(n -1)

For a1 = 5/2 and d = 3/2, the rule for this sequence is ...

an = 5/2 +3/2(n -1)

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This can be simplified to ...

an = 1 +3/2n