# The first two terms of an arithmetic sequence are a_1=2 and a_2=4, and what is a_10, the tenth term

The first two terms of an arithmetic sequence are ${a}_{1}=2$ and ${a}_{2}=4$, and what is ${a}_{10}$, the tenth term
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Vicente Macias
${a}_{1}=2,{a}_{2}=4$
Common Difference $d={a}_{2}-{a}_{1}=4-2=2$
nth term of an Arithmetic Sequence is given by the formula,
${a}_{n}={a}_{1}+\left(n-1\right)\cdot d$
Given ${a}_{1}=2,n=10$ and we found d=2
$\therefore {a}_{10}=2+\left(10-1\right)\cdot 2=2+18=20$