how many three-digit number are divisible by 7?
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The first 3 digit number that is divisible by 7 is 105 and the last 3 digit number is divisible by 7 is 994.
To find out all the numbers falling between 105 and 994, that are divisible by 7 we will apply the formula
AP= tn= a+ (n-1) d
Where a= 105, d=7, tn =994
Let number of terms= n, thus
994- 105+ (n-1) 7
994-105-7n-7
889=7n-7
n-1= 889/7
n-1= 127
n=127+1
n=128
∴ There are 128 3-digits number which are divisible by 7.
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