Question

If in a pond lotus flowers double each day and pond gets full in 30 days when was the pond half full?

Answer 1

Answer:

On the 29th day the pond was half full

Step-by-step explanation:

because on 29th it will double and will be full on 30th day

Answer 2

It will take 28 days to fill half the pond.

Let the total number of lotuses required to fill the pond be x.

Now, as per the given information, we are given that,

A lotus doubles its size with every passing day and it takes 30 days to fill the pond completely.

Then we have,

$x = 1+2+4+...+2^{30-1}$

Or, we can say that,

$x =2^{30-1}$

Now one more day is needed to fill the pond completely.

Then, the number of lotuses that fill half the pond will be .

Now we have,

$1+2+4+...+2^{n-1} =2^{28}$

Or, $2^{n-1} =2^{28}$

Or, n = 28.

Hence, it will take 28 days to fill half the pond.

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