Answer to Question #297191 in Algebra for Victoria

Question #297191

How many terms are there for the arithmetic sequence


28 , 25 , 22 , 19 , ⋯ , − 29 , − 32 ?


1
Expert's answer
2022-02-16T07:55:54-0500
a1=28,d=a2a1=2528=3a_1=28, d=a_2-a_1=25-28=-3

The n-th term of the arithmetic sequence is

an=a1+d(n1)a_n=a_1+d(n-1)

an=283(n1)=32a_n=28-3(n-1)=-32

3(n1)=603(n-1)=60

n1=20n-1=20

n=21n=21

There are 21 terms in the given arithmetic sequence.



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