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Q : 6 Check whether $\small -150$ is a term of the AP : $\small 11,8,5,2...$

Answers (1)

G Gautam harsolia

Given AP series is
$\small 11,8,5,2...$
Here, $a = 11$
And
$d = a_2-a_1 = 8-11 = -3$
Now,
suppose -150 is nth term of the given AP
Now, we know that
$a_n = a+(n-1)d$
$\Rightarrow -150 = 11+(n-1)(-3)$
$\Rightarrow -150- 11=-3n+3$
$\Rightarrow =n = \frac{161+3}{3}= \frac{164}{3} = 54.66$
Value of n is not an integer
Therefore, -150 is not a term of AP $\small 11,8,5,2...$

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