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  • 27-05-2020
  • Mathematics
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Write a rule for the nth term of the sequence 37, 32, 27, 22, . . . .

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altavistard
altavistard altavistard
  • 27-05-2020

Answer:

a(n) = 37 - 5(n -1)

Step-by-step explanation:

Notice that each new term is obtained by subtracting 5 from the previous term.  Thus, this is an arithmetic sequence with common difference -5 and first term 37.

The explicit formula for the nth term is a(n) = a(1) - 5(n - 1) =  37 - 5(n -1)

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