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  4. Let 3,6,9,12, ldots upto 78 terms and 5,9,13,17, ldots upto 59 terms be two series. Then, the sum of the terms common to both the series is equal to

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Q. Let $3,6,9,12, \ldots$ upto $78$ terms and $5,9,13,17, \ldots$ upto $59$ terms be two series. Then, the sum of the terms common to both the series is equal to_____

JEE MainJEE Main 2022Sequences and Series

Solution:

For series of common terms
$a =9, d =12, n =19$
$S_{19}=\frac{19}{2}[2(9)+18(12)]=2223$