###
**The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?**

A. 56
B. 65
C. 59
D. 62
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}
\begin{array}{l}
\left.T_{2}=a+d=8 \ldots \ldots \text { ( } 1\right) \\
T_{6}=a+5 d=20 \ldots \ldots \text { (2) }
\end{array}\\
\text { on solving (1) and (2) }\\
d=3 \& a=5\\
\begin{aligned}
T_{20} &=a+19 d \\
&=5+19(3) \\
&=62
\end{aligned}
\end{array}$

## 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