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natulia [17]
3 years ago
10

Find a recursive rule for the nth term of the sequence. -10, 2, 14, 26, ...

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

9514 1404 393

Answer:

  a[1] = -10

  a[n] = 12 + a[n-1]

Step-by-step 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]

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