### Which term of the A.P. 24, 21, 18, ………… is the first negative term?

A. 8th B. 9th C. 10th D. 12th Answer: Option C

### Solution(By Apex Team)

$a_{n}=a+(n-1) \times d$ where d = -3, $\text { Let } a_{n}=0$ $\begin{array}{l} \Rightarrow 0=24+(n-1) \times-3 \\ \Rightarrow 0=24-3 n+3 \\ \Rightarrow 3 n=27 \\ \Rightarrow n=9 \end{array}$ $\Rightarrow 10^{\text {th }}$ term will be negative (-ve)

A. 22
B. 25
C. 23
D. 24

A. 5
B. 6
C. 4
D. 3

A. -45
B. -55
C. -50
D. 0