###
**The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?**

A. -22
B. -25
C. -19
D. -28
**Answer: Option C**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}
\begin{array}{l}
T_{2}=a+d=17 \ldots \ldots \text { (1) } \\
T_{8}=a+7 d=-1 \ldots \ldots \text { (2) }
\end{array}\\
\text { on solving (1) and (2) }\\
d=-3 \& a=20\\
\begin{aligned}
T_{14} &=a+13 d \\
&=20+13(-3) \\
&=-19
\end{aligned}
\end{array}$

## Related Questions On Progressions

### How many terms are there in 20, 25, 30 . . . . . . 140?

A. 22B. 25

C. 23

D. 24

### Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.

A. 5B. 6

C. 4

D. 3

### Find the 15th term of the sequence 20, 15, 10 . . .

A. -45B. -55

C. -50

D. 0

### The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is

A. 600B. 765

C. 640

D. 680