Question

A gardener brought 5 rabbits after 2 months rabbit become 10 and after 4 month they become 20 if the growth continues on the same ratio what would be the amount of rabbits after 1 year

Answer 1

Here kavita are double in every 2 months
2 months ... 10
4 months ... 20
6 months ... 40
8 month ......80
10 months ...160
12 month ... 320

In 1 year it will be 320

Hope its help you !!

Answer 2

Concept Introduction:-

It might resemble a word or a number representation of the quantity's arithmetic value.

Given Information:-

We have been given that a gardener brought $5$ rabbits after $2$ months rabbit become $10$ and after $4$ month they become $20$ if the growth continues on the same ratio.

To Find:-

We have to find that the amount of rabbits after $1$ year

Solution:-

According to the problem

a gardener brought $5$ rabbits after $2$ months rabbit become $10$ and after $4$ month they become $20$ if the growth continues on the same ratio. This represents a geometric sequence with $1$st term as $5$ and common ratio as $2$. As we have to find the amount of rabbit after $1$ year, so the we have to find $\frac{12}{2}+1=6+1=7$th term. As the time difference between each counting is $2$ months, so we divided $1$ year or $12$ months of time by $2$nth term in a G.P is, $T_n=ar^{n-1}$Putting the values $T_7=5\times (2)^{7-1}=5\times (2)^6=320$.

Final Answer:-

The amount of rabbits after $1$ year is $320$.

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