Size of Lily?
Number Theory
Level
1
In a pond there was a lily who was double of its size in each day.If in 20 days lily can occupied whole pond then in which day lily can occupied half pond??
The answer is 19.
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every day lilly doubles ... it form geometric progression 2, 4 , 8 , with common ratio 2,,, at 20th day it stops so that is at 20th term is last one ... which is 2power 20 .... half of the size is 2 power 20 divided by 2 ,,,, which is 2 power 19 .... so it izz 19th term ... that is 19 days !!