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Write an explicit formula for a,, the nth
term of the sequence 39, 45, 51, ....

1 Answer

2 votes

Answer:


a_n=33+6n

Explanation:

General form of arithmetic sequence:
a_n=a+(n-1)d

Given terms:


  • a_1=39

  • a_2=45

  • a_3=51

To find the common difference, subtract a term from the next:


d=a_3-a_2=51-45=6

Substitute
a=39 and
d=6 into the formula:


\implies a_n=39+6(n-1)


\implies a_n=39+6n-6


\implies a_n=33+6n

User Dlaliberte
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