# What is the nth term of the arithmetic sequence 5,12,19,16?

${n}^{t h}$ term is $7 n - 2$..
${n}^{t h}$ term of an arithmetic sequence $\left\{a , a + d , a + 2 d , . .\right\}$, where $a$ is first term and $d$ is difference between a term and it's preceding term is given by $a + \left(n - 1\right) d$.
Here $a = 5$ and $d = 7$ so ${n}^{t h}$ term will be $5 + \left(n - 1\right) \times 7 = 5 + \left(n - 1\right) \times 7 = 5 + 7 n - 7$ or $7 n - 2$