General term of $7,12,17,22,27?$

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Answer 1 · 2018-06-06T14:26:33

General term $=n^(th) term=a_n=5n+2$

Here,

$7,12,17,22,27,...$ is an Arithmetic Sequence.

$"The "$ , $n^(th)$ $" term of Arithmetic Sequence is :"$

$color(red)(a_n=a_1+(n-1)d$ ,

$where , a_1=$ first term and $d=$ common difference

We have,

$a_1=7 and d=12-7=17-12=...=5$

So,

$a_n=7+(n-1)*5$

$a_n=7+5n-5$

$a_n=5n+2$

Hence,

General term $=n^(th) term=a_n=5n+2$

General term of 7,12,17,22,27?7,12,17,22,27?