Question

Emma visits a newly built bunny park near her house. There were only two bunnies when she visited for the first time. She visits the park again after a month and counts four bunnies. She records the number of bunnies every month she visited the park in her diary as tabulated below.


What will be the expected number of bunnies in the park after $5$ months and after $6$ months $?$

• A. $24$ and $48$
• B. $24$ and $36$
• C. $32$ and $48$
• D. $32$ and $64$

Answer 1

The correct option is D $32$ and $64$

Given:


After observing the pattern in the sequence, we get


$\therefore$ We get the next number by multiplying $2$ with the previous number.

Hence,
$\bullet 5^{\text{th}}$ term
$=4^{\text{th}}$ term $\times 2$
$=16\times 2$
$=32$

$\bullet 6^{\text{th}}$ term
$=5^{\text{th}}$ term $\times 2$
$=32\times 2$
$=64$

So, the number of bunnies after $5$ months is $\underset{–}{32}$ and after $6$ months is $\underset{–}{64}$.