The number of lotuses doubles every day in a pond. After 30 days,…

Question 15 of 28beginner🔧 ApplyShort Answer2 marks

The number of lotuses doubles every day in a pond. After 30 days, the pond is completely covered with lotuses. Write the number of lotuses (in exponential form) when the pond was — (i) fully covered (ii) half covered

(i)

Answer

$2^{30}$ lotuses

(ii)

Answer

$2^{29}$ lotuses

Explanation

(i) Starting with 1 lotus and doubling each day for 30 days gives $2^{30}$ lotuses. (ii) On day 29 (one day before full coverage), the pond is half covered with $2^{29}$ lotuses.

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