Find the common difference of an $A . P .$ whose $n^{t h}$ term is $3 n + 7$ .

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Solution

$T_{n} = 3 n + 7$
$T_{1} = 3 \times 1 + 7 = 10$
$T_{2} = 3 \times 2 + 7 = 13$
$d = T_{2} - T_{1}$
$d = 13 - 10$
$d = 3$
common difference $= 3$

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