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

Question

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 (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

For series of common terms a =9, d =12, n =19 S19=(19/2)[2(9)+18(12)]=2223

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

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

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

For series of common terms a=9,d=12,n=19 S19​=219​[2(9)+18(12)]=2223

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

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