recursive formula for arithmetic sequences - Which recursive formula defines this sequence for n1?

Sangeetha Pulapaka (last edited 3 years ago) (Expert, Educator @Qalaxia)

STEP 1: Recall what is a sequence

STEP 2: Recall what is an arithmetic sequence

STEP 3: Recall what is a geometric sequence

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

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

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)