Find the number of integers between 100 ane 1000 that are not divisible by 7
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Numbers between 100 and 1000 that are divisible by 7 are 105,112,119...........,994. Thus,it forms an AP.
Here First term,a = 105
Second term a2 = 112
Common difference,d= 112-105=7
Last term,l=994
We know that
l= a+ ( n-1)d
994 = 105+(n-1)7
994-105= (n-1)7
889 = (n-1)7
889/7 = n-1
127=n-1
n=127+1=128
Hence, there are 128 numbers between 100 and 1000 that are divisible by 7.
Here First term,a = 105
Second term a2 = 112
Common difference,d= 112-105=7
Last term,l=994
We know that
l= a+ ( n-1)d
994 = 105+(n-1)7
994-105= (n-1)7
889 = (n-1)7
889/7 = n-1
127=n-1
n=127+1=128
Hence, there are 128 numbers between 100 and 1000 that are divisible by 7.
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