Find the 19th term in the sequence −14,−7,0,7,14,...

Noe Cowan

Noe Cowan

Answered question

2022-11-11

Find the 19th term in the sequence −14,−7,0,7,14,...

Answer & Explanation

Jackson Trevino

Jackson Trevino

Beginner2022-11-12Added 14 answers

a 1 = - 14 , a 2 = - 7 , a 3 = 0 , a 4 = 7 , a 5 = 14
a 2 - a 1 = a 3 - a 2 = a 4 - a 3 = a 5 - a 4 = d = 7
Now we know, a 1 = - 14 , d = 7
nth term a n = a 1 + ( n - 1 ) d
a 19 = a 1 + ( 19 - 1 ) d = - 14 + 18 7 = - 14 + 91 = 112

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