Find the common difference and write the next four terms of the f… - Vidyadip

Question

Find the common difference and write the next four terms of the following arithmetic progressions:
$1, -2, -5, -8, .....$

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Answer

Here, $a_1=1, a_2=-2, a_3=-5, a_4=-8, \ldots .$.
Now $a_2-a_1=-2-1=-3$
$a_3-a_2=-5-(-2)=-5+2=-3$
$ a_4-a_3=-8-(-5)=-8+5=-3$
$\therefore$ It is an A.P. whose common difference is $= -3$
Now next four terms will be
$-8 - 3 = -11$
$-11 - 3 = -14$
$-14 - 3 = -17$
$-17 - 3 = -20$
$\therefore -11, -14, -17, -20$ are four term next to these.

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