Mathematics: Write the recursive rule for the sequence: 2, 9, 16, 23, 30,… question 1 options: an=an−1+7, a1=2 an=an−1−7, a1=2 an=an−1+2, a1=7 an=an−1+2, a1=−7

Write the recursive rule for the sequence: 2, 9,

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mariahgriego1125

03.01.2022

Mathematics

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 , 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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nourmaali

13.04.2020

Mathematics

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Write the recursive rule for the sequence:
2, 9, 16, 23, 30,…
question 1 options:
an=an−1+7, a1=2
an=an−1−7, a1=2
an=an−1+2, a1=7
an=an−1+2, a1=−7

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