Find the common difference for the arithmetic sequence whose formula is $a_{n} = 12 n - 7$

10

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12

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13

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Solution

The correct option is C $12$
Assume $n = 1, 2, 3,$ .......
Put those values in $a_{n} = 12 n - 7$
$a_{1} = 12 (1) - 7 = 5$
$a_{2} = 12 (2) - 7 = 17$
$a_{3} = 12 (3) - 7 = 29$
$a_{4} = 12 (4) - 7 = 41$
Therefore, the common difference, $d$ is $12$

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