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How many numbers between 11 and 90 are divisible by 7 ?

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How many numbers between 11 and 90 are divisible by 7 ?

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The required numbers are 14, 21, 28, 35, .... 77, 84. 

This is an A.P. with a = 14 and d = (21 - 14) = 7. 

Let it contain n terms. 

Then, Tn = 84 => a + (n - 1) d = 84 

 => 14 + (n - 1) x 7 = 84 or n = 11. 

Required number of terms = 11.

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