If the common difference of an AP is $- 6,$ then what is $a_{16} - a_{12} ?$

- 24

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24

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- 30

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30

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Solution

The correct option is A $- 24$
Given, $d = - 6$
$a_{16} = a + 15 d$
$a_{12} = a + 11 d$
$a_{16} - a_{12} = (a + 15 d) - (a + 11 d) = 4 d$
$∴ a_{16} - a_{12} = 4 \times - 6 = - 24$

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