The $n^{t h}$ term of an arithmetic sequence is 15 -7n. Find the common difference of the sequence.

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-7

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Solution

The correct option is B -7
Since $n^{t h}$ term is given by 15 - 7n,
We have,
$a_{1}$ when n = 1;
15 - 7(1) = 8

$a_{2}$ when n = 2;
15 - 7(2) = 15 - 14 = 1

Hence the common difference is $a_{2}$ - $a_{1}$ = 1-8 = -7

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