find the number of natural numbers between 200 and 700 which are multiples of 11

Asked by Rohan Sajwan | 14th Jan, 2014, 02:51: PM

Expert Answer:

The numbers between 200 and 700 which are multiples of 11:
209, 220, ......, 693
 
This is an AP with first term = a = 209 and common difference = d = 11.
 
Let the number of terms be n.
an = a + (n - 1)d
693 = 209 + (n - 1)(11)
(n - 1)(11) = 484
n - 1 = 44
n = 45
 
Thus, there are 45 natural numbers between 200 and 700 which are multiples of 11.

Answered by  | 14th Jan, 2014, 03:00: PM

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