The sum of the numbers between 100 and 1000 which are divisible by 14 is :
Answer & explanation
Correct answer: option 2
numbers between 100 and 1000 which are divisible by 14 :-
112 , 126 , ......... , 994
Last term = a + ( n - 1 ) d
994 = 112 + ( n - 1 )14
882 = ( n - 1 )14
n = 64
Sum of all numbers = \(\frac{n}{2}\)(2a + ( n - 1 )d)
= \(\frac{64}{2}\)(2 × 112 + ( 63 ) 14 )
= 35392
The correct answer is option (2) : 35392