Find the first term and common difference of the given AP $\frac{3}{2}, \frac{1}{2}, - \frac{1}{2}, - \frac{3}{2}, \dots$

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Solution

First term

$a_{1} = \frac{3}{2}$

Common difference

$d = a_{2} - a_{1} = \frac{1}{2} - \frac{3}{2} = - 1$

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Find the first term and common difference of the given AP $\frac{3}{2}, \frac{1}{2}, - \frac{1}{2}, - \frac{3}{2}, \dots$

First term

$a_{1} = \frac{3}{2}$

Common difference

$d = a_{2} - a_{1} = \frac{1}{2} - \frac{3}{2} = - 1$