8. Sequences and Series
hard

तीन समांतर श्रेणियों

$3,7,11,15, \ldots \ldots . . . ., 399$,

$2,5,8,11, \ldots \ldots \ldots \ldots . ., 359$ तथा

$2,7,12,17, \ldots \ldots . ., 197$,

के उभ्यनिष्ठ पदों का योग है ____________I

A

$322$

B

$321$

C

$324$

D

$328$

(JEE MAIN-2023)

Solution

$3,7,11,15, \ldots \ldots \ldots \ldots, 399 \quad d_1=4$

$2,5,8,11, \ldots \ldots \ldots \ldots ., 359 \quad d_2=3$

$2,7,12,17, \ldots \ldots ., 197 \quad d_3=5$

$\operatorname{LCM}\left(d_1, d_2, d_3\right)=60$

Common terms are $47, 107, 167$

$Sum =321$

Standard 11
Mathematics

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