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

Write the nth term rule for the arithmetic sequence with d=4 and ${a}_{14}=46$
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Layton Leach
The nth term rule is ${a}_{n}={a}_{1}+\left(n-1\right)d$
To write the nth term rule we need to know both d and a.
We have d=4 and the value of a_14#
${a}_{14}=a+\left(14-1\right)4=46$
$a+13×4=46$
$a=-6$
${a}_{n}=-6+\left(n-1\right)4$
${a}_{n}=-6+4n-4$
${a}_{n}=4n-10$