###
**If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?**

A. 53
B. 49
C. 57
D. 61
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}
T_{3}=a+2 d=13 \ldots(1) \\
T_{5}=a+4 d=21 \ldots(2) \\
\text { on solving }(1) \text { and }(2) \\
d=4 \& a=5 \\
T_{13}=a+12 d \\
\quad=5+12(4) \\
\quad=5+48 \\
\quad=53
\end{array}$

## 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