#### Which recursive formula defines this sequence for n1?

-8, 7, 22, 37, 52, 67,.....

recursive formula for arithmetic sequences
CCSS.HSF.IF.A.3.Q.A1.SF.4
ninth grade
high-school
Algebra

Anonymous

0

-8, 7, 22, 37, 52, 67,.....

Sangeetha Pulapaka

0

STEP 1: Recall what is a sequence

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STEP 2: Recall what is an arithmetic sequence

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STEP 3: Recall what is a geometric sequence

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STEP 4: Recall what is the recursive formula for an arithmetic sequence

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STEP 5: Recall what is the recursive formula for a geometric sequence

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STEP 6: Write the recursive sequence

Note that there is a common difference of 15. so d = 15

So, this sequence is an arithmetic sequence

The recursive formula for an arithmetic sequence is a_{n} = a_{n-1}+d

Since the common difference is d = 15

a_{n} = a_{n-1}+15

(so the nth term would be a_{n} = a_{5} + 15 = 67)