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#