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  4. If the middle term of the A.P is 300 then the sum of its first 51 terms is

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Q. If the middle term of the $A.P$ is $300$ then the sum of its first $51$ terms is

KCETKCET 2021Sequences and Series

Solution:

mid term is $T _{26}=300$
$T _{1}=300-25 d ; T _{51}=300+25 d$
$S =\frac{51}{2}[300-25 d +300+25 d ]$
$\frac{51}{2}[600]=15,300$