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Question

The common difference of an A.P. in which $$a_{25} - a_{12} = - 52$$ is:


A
4
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B
4
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C
3
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D
3
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Solution

The correct option is B $$-4$$
Let $$a_{1} = a$$
$$\therefore  a_{25} = a_{1} + 24d$$                       ...eq ( 1 )
$$\therefore  a_{12} = a_{1} + 11d$$                       ...eq ( 2 )
eq ( 1 ) - eq ( 2 )
$$a_{1}+24d-a_{1}-11d=-52$$
$$13d=-52$$
$$\therefore d=-4$$         

Mathematics

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