Question
The $\mathrm{n}^{\text {th }}$ term of an $AP$ is $(7 - 4n).$ Find its common difference.

Answer

We have:
$T_n=(7-4 n)$
Common difference $=T_2-T_1$
$T_1=7-4 \times 1=3$
$ T_2=7-4 \times 2=-1$
$ d=-1-3=-4$
Hence, the common difference is$ -4.$

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