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Igoryamba
3 years ago
11

Write the Recursive Rule for the sequence:

Mathematics
1 answer:
skad [1K]3 years ago
5 0

A formula is recursive if it expresses the term a_n in terms of the previous one(s) a_{n-1},\ a_{n-2},\ \ldots,\ a_1

In this case, every term is 7 more than the previous one, so the formula for a_n will only involve a_{n-1}:

a_n = a_{n-1} + 7

In fact, this formula is simply saying: for every index n, the term with that index is 7 more than the term before.

Also, we have to specify the starting point (otherwise we would go backwards indefinitely), so the complete recursive formula is

a_n = a_{n-1} + 7,\quad a_1 = 2

which means: start with 2 and generate every other term by adding 7 to the previous one.

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