Question

Which term of the A.P. 113, 108, 103, ......... is the first negative term?

• A. 22nd term
• B. 24th term
• C. 26th term
• D. 28th term

Answer 1

Answer: (B)

24th term

Let $a=113$

$d=108-113=-5$

Assuming the nth term to be 0

We know:

$T_n=a+(n-1)d$

$\therefore 0=113+(n-1)(-5)$

$\Rightarrow (n-1)=\frac{113}{5}=22.6$

$\Rightarrow n=23.6$

$\therefore$ 24th term will be the first negative term.