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

Given:

Given A.P. is $1, -2, -5, -8, ……..$.
To do:

We have to find the common difference and write the next four terms of the given A.P.
Solution:
 The common difference of an A.P. is the difference between any two consecutive terms.

Here,

$a_1=1, a_2=-2, a_3=-5, a_4=-8$

$d=a_2-a_1=-2-1=-3$

$a_5=a_4+d=-8+(-3)=-8-3=-11$

$a_6=a_5+d=-11+(-3)=-11-3=-14$

$a_7=a_6+d=-14+(-3)=-14-3=-17$

$a_8=a_7+d=-17+(-3)=-17-3=-20$

The common difference of the given A.P. is $-3$ and the next four terms are $-11, -14, -17$ and $-20$.

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Updated on: 10-Oct-2022

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