Write an equation for the sequence whose third item is 27 and each item is 5 more than the previous.

9514 1404 393

Answer:

  an = 17 +5(n -1)

Step-by-step explanation:

The first term can be found by working backward from the third term:

  third term = 27

  second term = 22 . . . . subtract 5 from 3rd term

  first term = 17 . . . . . . . . subtract 5 from 2nd term

The generic term is given by the formula ...

  an = a1 + d(n -1) . . . . . a1 = first term; d = common difference

Here, we have a first term of 17 and a common difference of 5. So, the sequence terms are described by ...

  an = 17 +5(n -1)

Answer:

 an = 17 +5(n -1)

Step-by-step explanation:

Hope this helps!!

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