Question

How many numbers lie between 500 and 1000 which are divisible by 13?

Answer 1

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A.P.507 , 520 , 533 , ....... , 988

First term, a = 507

Common difference, d = 13

Last term, aⁿ = 988

As we know,
aⁿ = a + ( n – 1 ) d
988 = 507 + ( n – 1 ) 13
988 – 507 = ( n – 1 ) 13
481 / 13 = n – 1
37 = n – 1
n = 37 + 1
n = 38

Therefore, 38 numbers lie between 500 and 1000 which are divisible by 13.

Answer 2

No. divisible by 13 :-

507, 520, 533.............988

➡ an = a + (n -1 ) d

➡ 988 = 507 + ( n-1 ) 13

➡ ( n-1 ) 13 = 988 - 507

➡ ( n-1 ) = 37

➡ n = 38

So, required answer is 38. There are 38 numbers lie between 500 and 1000 divisible by 13.