If each term of a sequence changes by a common difference, d, what would a general rule for this type of sequence

a.) a(n)=(d)n-1
b.) an=an-1+d
c.) an=an-1+an-2
d.) an=n-1+an-2+d

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Explanation:

The idea is that for any term, we add on the common difference d to get the next term. For example, the sequence {3, 7, 11, 15, 19, 23, ...} has us add on 4 each time so d = 4 in this case.

3+4 = 7

7+4 = 11

11+4 = 15

and so on. The nth term is represented by the notation while the term just before the nth term is written as

So adding d onto the term just before the nth term gets us the nth term which is how we end up with

This is the recursive form of the arithmetic sequence. The closed form is written as

mean, 40.6

step-by-step explanation: