Question

Write the common difference of the following AP:$20,19\frac{1}{4},18\frac{1}{2},17\frac{3}{4},\dots$

Answer 1

Write the common difference of the AP:

Here, the the AP is $20,19\frac{1}{4},18\frac{1}{2},17\frac{3}{4},\dots$.

$a_1=20,a_2=19\frac{1}{4},a_3=18\frac{1}{2},a_4=17\frac{3}{4}$.

Common difference of AP is,
$\begin{array}{rcl}& \Rightarrow & d=a_2-a_1\\ & =& 19\frac{1}{4}-20\\ & =& \frac{77}{4}-20\\ & =& -\frac{3}{4}\end{array}$

Therefore, the common difference is $-\frac{3}{4}$.