How do you find the explicit formula for the following arithmetic sequence 123, 116, 109, 102, 95, ...?

hiposopj

hiposopj

Answered question

2022-09-09

How do you find the explicit formula for the following arithmetic sequence 123, 116, 109, 102, 95, ...?

Answer & Explanation

letovanjelm

letovanjelm

Beginner2022-09-10Added 13 answers

When defined explicitly:
a n = a 1 + d ( n - 1 )

a n is the nth term
a 1 is the first term
d is the difference

The difference is:
116 - 123 = - 7

So this can be written as:
a n = 123 - 7 ( n - 1 )

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