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**The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.**

A. 44
B. 22
C. 19
D. 46
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

The third term $t_{3}=a+2 d$
The ninth term $t_{9}=a+8 d$
$t_{3}+t_{9}=2 a+10 d=8$
Sum of first 11 terms of an AP is given by
$\begin{aligned}&\Rightarrow S_{11}=\frac{11}{2}[2a+10d]\\
&\Rightarrow S_{11}=\frac{11}{2}\times8\\
&\Rightarrow S_{11}=44\end{aligned}$

## 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