What is the sum of all the integers less than 700 that are divisible by 3and 7?
List of all positive integers less than 700 divisible by 3 and 7 is : 21, 42, 63,......, 693
Thus the A.P. has a = 21 ; d = 42 - 21 = 21 ; an = 693
Now, an = a + (n - 1)d
693 = 21 + (n - 1)(21)
672 = (n - 1)(21)
n - 1 = 32
n = 33
Now, Sn = (n/2)(a + an)
Sn = (33/2)(21 + 693)
Sn = (33/2)(714)
Sn = 33 × 357
Sn = 11781
Thus the A.P. has a = 21 ; d = 42 - 21 = 21 ; an = 693
Now, an = a + (n - 1)d
693 = 21 + (n - 1)(21)
672 = (n - 1)(21)
n - 1 = 32
n = 33
Now, Sn = (n/2)(a + an)
Sn = (33/2)(21 + 693)
Sn = (33/2)(714)
Sn = 33 × 357
Sn = 11781