Write the nth term rule for the arithmetic sequence with d=4 and a_14=46

Dylan Nixon

Dylan Nixon

Answered question

2022-10-22

Write the nth term rule for the arithmetic sequence with d=4 and a 14 = 46

Answer & Explanation

Layton Leach

Layton Leach

Beginner2022-10-23Added 15 answers

The nth term rule is a n = a 1 + ( n - 1 ) d
To write the nth term rule we need to know both d and a.
We have d=4 and the value of a_14#
a 14 = a + ( 14 - 1 ) 4 = 46
a + 13 × 4 = 46
a = - 6
a n = - 6 + ( n - 1 ) 4
a n = - 6 + 4 n - 4
a n = 4 n - 10

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