Question

The number of terms between 105 and 1000 which are divisible by 7

Answer 1

Answer:

127 terms are divisible by 7 between 105 and 1000

Answer 2

Answer:

the numbers between 105 and 1000 that are divisible by 7 are

112, 119, 126.........994

clearly , it forms an Ap

where,

a = 112

d = 119 - 112 = 7

l = 994

now,

l = a + (n-1)d

=> 994 = 112 + (n-1)7

=> 994 - 112 = (n-1)7

=> 882/7 = n-1

=> 126 = n -1

= > n = 126 + 1 = 127

= 127 is the answer