Write a rule for the nth term of the arithmetic sequence given a_20=240,a_15=170

FofieiyK

FofieiyK

Answered question

2022-11-25

Write a rule for the nth term of the arithmetic sequence given a 20 = 240 , a 15 = 170

Answer & Explanation

Lucas Contreras

Lucas Contreras

Beginner2022-11-26Added 11 answers

ω = a 20 - a 15 5 = 240 - 170 5 = 70 5 = 14
a 1 = a 15 - 14 ω = 170 - 196 = - 26
So for the n t h term we know :
a n = a 1 + ( n - 1 ) ω = - 26 + 14 ( n - 1 )
To check out answer let's calculate a 20
a 20 = - 26 + 14 19 = - 26 + 266 = 240
Which is true.

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