Question

on the first day of the month of september , jeevan noticed just one lotus flower in the pond near his house . the next day he noticed that the pond had two flowers . on the third day he noticed four flowers . on the fourth day he noticed that the pond had eight flowers . and this pattern continued everyday . on the 10th of september , his pond was half full . on what date will the pond be full of lotus flowers ? express the number of flowers in exponential form when it is full.

Answer 1

It is observed that the number of lotus flowers double everyday.
So, the pattern is:-
1,2,4,8,16,32,64,128,256,512,1024

They can be represented in exponential form as powers of 2 as :-
2^0 , 2^1 , 2^2 , 2^3 , 2^4 , etc

On 10th day there will be 2^9 = 512 flowers

It is given that the pond was half full on the 10th day. Since they are doubling everyday, the pond will get full on the 11th day.