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Question

The table below shows how the population of rabbits grows every year at a place.
After which year will the number of rabbits cross 1000?
Time Number of rabbits
Start 10
1 year 18
2 year 34
3 year 67
4 year 132
5 year
6 year

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Solution

If we analyse the pattern we observe that every year the number of rabbits is double of the previous year.
After the 5th year Number of rabbits can be estimated as less than 132 x 2 = 264
After the 6th year Number of rabbits can be estimated as less than 264 x 2 = 528
After the 7th year Number of rabbits can be estimated as less than 528 x 2 = 1056

Hence, After 6th year the number of rabbits crosses 1000 value.


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