Question

how many multiple of 4 lie between 11 and 266

Answer 1

hey.. Mate here's ur solution ,

Here ,
a = 12
l = 264 ,
d = 4

n = ( l - a ) / d + 1

( 264 - 12 ) / 4 + 1

= ( 252/ 4 ) + 1

63 + 1 = 64

there are 64 multiples of 4 that lie between 11 and 266.

Answer 2

Let a be the first term and d be the common difference.

The series is 12, 16,20,24..... 264.

First term a = 12.

Common difference d = 4

last term an = 264


Now,


an = a + (n - 1) * d

264 = 12 + (n - 1) * 4

264 = 12 + 4n - 4

264 = 4n + 8

264 - 8 = 4n

256 = 4n

n = 64.


Therefore 64 multiples of 4 lie between 11 and 266.


Hope this helps!