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

-9

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

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