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Find a recursive rule for the nth term of the sequence.

-10, 2, 14, 26, ...

User Aamarks
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Answer:

a[1] = -10

a[n] = 12 + a[n-1]

Explanation:

First differences are ...

  • 2 -(-10) = 12
  • 14 -2 = 12
  • 26 -14 = 12

A constant first difference of 12 means this is an arithmetic sequence. Each term is 12 more than the previous, so the recursive rule is ...

a[1] = -10

a[n] = 12 + a[n-1]

User Puppybits
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