In A.P. 171, 162, 153, ………. Find first negative term. - Vidyadip

MCQ

In $A.P. 171, 162, 153, ……….$ Find first negative term.

A
$0$
B
$-2$
C
$-6$
✓
$-9$

✓

Answer

Correct option: D.

$-9$

Explanation: $a = 171$ and $d = 162 - 171 = -9.$
$a_n < 0$
$\Rightarrow 171+(n - 1) (-9) < 0$
$\Rightarrow 180 - 9n < 0$
$\Rightarrow 9n > 180$
$\Rightarrow n > 20$
$\Rightarrow n = 21$ for first negative term.
First negative term is $171+(20) (-9) = 171 - 180 = -9$

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