Find the formula for a_n for the arithmetic sequence a_1=5,a_4=15

Cyrus Travis 2022-10-23 Answered
Find the formula for a n for the arithmetic sequence a 1 = 5 , a 4 = 15
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Answers (1)

indyterpep
Answered 2022-10-24 Author has 12 answers
the nth term of an arithmetic sequence is
x a n = a 1 + ( n - 1 ) d
where d is the common difference
given a 4 = 15 and a 1 = 5
5 + 3 d = 15 d = 10 3
a n = 5 + 10 3 ( n - 1 )
a n = 5 + 10 3 n - 10 3
a n = 10 3 n + 5 3
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