How do I find the n-th term of an arithmetic sequence?

drobtinicnu

drobtinicnu

Answered question

2022-09-09

How do I find the n-th term of an arithmetic sequence?

Answer & Explanation

Kristopher Beard

Kristopher Beard

Beginner2022-09-10Added 18 answers

Examine the pattern:

a 1
a 2 = a 1 + d = a 1 + 1 d
a 3 = a 2 + d = a 1 + d + d = a 1 + 2 d
a 4 = a 3 + d = a 1 + 2 d + d = a 1 + 3 d
a 5 = a 4 + d = a 1 + 3 d + d = a 1 + 4 d

a n = a 1 + ( n - 1 ) d
where a 1 is the first term and
d is the difference between a term and its previous term.

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