Class 11

Math

Algebra

Sequences and Series

The sum of the $4th$ and $8th$ term of an A.P is $24$ and the some of its $6th$ and $10th$ terms is $44$. Find the first terms ?

- $13$
- $12$
- $−13$
- $−14$

$∴2a+10d=24$ or $a+5d=12$ ...(i)

Also $t_{6}+t_{10}=44⇒a+7d=22$ ....(ii)

(i) and (ii) gives d - 5 and a = - 13