# Which of the following is the algebraic expression that best describes the sequence 7,14, 21, 28,?

Which of the following is the algebraic expression that best describes the sequence 7,14, 21, 28,?
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the terms are the terms of an arithmetic sequence
$a,a+d,a+2d,......,a+\left(n-1\right)d$
where a is the first term and d the common difference
$a+\left(n-1\right)d\phantom{\rule{1ex}{0ex}}\text{is the n th term}$
$\text{here}\phantom{\rule{1ex}{0ex}}d=28-21=21-14=14-7=7$
$⇒{a}_{n}=7+7\left(n-1\right)=7n$
$⇒{a}_{n}=7n\phantom{\rule{1ex}{0ex}}\text{generates the terms in the sequence}$