3 years ago

Recursive rule for an arithmetic sequence is a1=−3; an=an−1+7.

Mathematics

1 answer:

Aloiza [94]3 years ago

3 0

Answer:

an = 7n -10

Step-by-step explanation:

In general, the iterative rule for an arithmetic sequence with first term a1 and common difference d is ...

... an = a1 + (n-1)d

Your sequence has a1 = -3, and d = 7, so the rule can be written ...

... an = -3 + 7(n -1)

and simplified to ...

... an = 7n -10

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