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