Question

Find the common difference of an AP in which a18-a14=32

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{As}{\mathrm{a}}_{\mathrm{n}}=\mathrm{a}+\left(\mathrm{n}-1\right)\mathrm{d} \\ {\mathrm{a}}_{18}=\mathrm{a}+17\mathrm{d},{\mathrm{a}}_{14}=\mathrm{a}+13\mathrm{d} \\ \mathrm{Now}, \\ {\mathrm{a}}_{18}-{\mathrm{a}}_{14}=32 \\ \mathrm{a}+17\mathrm{d}-\mathrm{a}-13\mathrm{d}=32 \\ 4\mathrm{d}=32 \\ \mathrm{d}=8\mathrm{ANS}... \end{gathered}$$

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