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

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

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Answer 1 · 2016-04-27T07:29:13

$n^(th)$ term is $7n-2$ ..

Explanation:

$n^(th)$ term of an arithmetic sequence ${a,a+d,a+2d,..}$ , where $a$ is first term and $d$ is difference between a term and it's preceding term is given by $a+(n-1)d$ .

Here $a=5$ and $d=7$ so $n^(th)$ term will be $5+(n-1)xx7=5+(n-1)xx7=5+7n-7$ or $7n-2$

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

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