Examveda
Examveda

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

Solution(By Examveda Team)

The third term t3 = a + 2d
The ninth term t9 = a + 8d
t3 + t9 = 2a + 10d = 8
Sum of first 11 terms of an AP is given by
$$\eqalign{ & \Rightarrow {S_{11}} = \frac{{11}}{2}\left[ {2a + 10d} \right] \cr & \Rightarrow {S_{11}} = \frac{{11}}{2} \times 8 \cr & \Rightarrow {S_{11}} = 44 \cr} $$

This Question Belongs to Arithmetic Ability >> Progressions

Join The Discussion

Related Questions on Progressions