Question

Find the number of leap years between 1943 and 2011

Answer 1

Answer:

17

Step-by-step explanation:

1943 when divided by 4 leaves the remainder 3. so the first leap year after 1943 is 1944. Likewise the last leap year before 2011 will be 2008.

so we have to find the value of n of an ap with first term 1944, nth term 2008 and common difference 4

nth term = first term + (n-1) common difference

∴2008=1944+(n-1)4

⇒4n=2008-1940=68

So n=17