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Lisa [10]
3 years ago
6

Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl

ain what an and an-1 represent in the formula. Then find a8 . What do you need to know in order to find a8 ?
Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer:

a_8=38

Step-by-step explanation:

<u>Recursive sequence </u>

In a recursive sequence formula, each term a_n is computed as a function of one or more previous terms. In the formula

a_n=a_{n-1}+5

n is the number of the term we want to calculate. If n=8, then the formula becomes

a_8=a_{7}+5

We can see a_{n-1} is the previous term. It means we need a_7 to be able to compute a_8. But we also need a_6 to compute a_7 and so on until some known data is reached. The question provides five terms, a_5=23.

a_6=a_5+5=28

a_7=a_6+5=33

a_8=a_7+5=38

a_8=38

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