How do you write the nth term rule for the arithmetic sequence with d=4 and $a_14=46$ ?

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Answer 1 · 2016-08-13T21:24:16

$a_n = 4n- 10$

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#

$a_14 = a + (14-1)4 = 46$

$a +13xx4 = 46$

$a =-6$

$a_n = -6 + (n-1)4$

$a_n = -6 +4n -4$

$a_n = 4n- 10$

How do you write the nth term rule for the arithmetic sequence with d=4 and a_14=46a_14=46?