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How many three digit numbers are divisible by 7? |
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Answer» Digit divided by 7=105,112,119..........,994 it is in A.P USING An=a+(n-1)d,105+(n-1)7=994 105+7n-7=9947n=994-98 , 7n=896 , n=896/7=128So,n=128 Smallest three digit no. divisible by 7 = 105Largest three digit no. divisible by 7=994Therefore AP: 105,112,119,....,994.Using nth term formula, an=a+(n-1)dWe get n = 128.Ans. 128 three digit numbers are divisible by 7 |
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