The nth term of a sequence is 3n-2. Is the sequence an A.P. ? If so, find its 10th term .

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Solution

$a_{n} = 3 n - 2$
$a_{n}$ is a linear expression in $n$ . So, the given sequence is an A.P. with common difference 3.
Therefore,
$a_{10} = 30 - 2 = 28$

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