Question

There are 60 bees in a beehive. The number of bees in the hive doubles every hour. How many bees will there be after 100 hours?

• A. $60\times 2^{100-1}$
• B. $60\times 100$
• C. $60\times 2^{100}$
• D. $60\times 2\times 100$

Answer 1

The correct option is C $60\times 2^{100}$

Initially, there were 60 bees in the beehive. Every hour the number of bees doubles.

After 1 h, the number of bees $=60\times 2=60\times 2^1$
After 2 h, the number of bees $=60\times 2^1\times 2^1=60\times 2^{1+1}=60\times 2^2$
After 3 h, the number of bees $60\times 2^1\times 2^1\times 2^1=60\times 2^{1+1+1}=60\times 2^3$
Similarly, after 100 h, the number of bees $=60\times 2^{100}$