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A plant grows by 10% of its height every three months. If the plant’s height today is 1 m, its height after one year is the closest to
Question

A plant grows by 10% of its height every three months. If the plant’s height today is 1 m, its height after one year is the closest to

A.

1.10 m

B.

1.21 m

C.

1.33 m

D.

1.46 m

Correct option is D


Concept:
In the context of plant growth,  "successive increment" typically refers to  the gradual and consecutive increases in various aspects of a plant's development over time.
It's a form of compound growth, where the increase is applied to the original amount as well as any already accumulated increases
Solution:
If the  plant grows by 10% of its height  every three months, then it means the  plant's height after every three months will be 1.1 times its height at the beginning of those three months. So, after one year (which consists of 4 quarters), the plant's height can be calculated as follows:
After the first quarter: 1 m * 1.1 = 1.1 m
After the second quarter: 1.1 m * 1.1 = 1.21 m
After the third quarter: 1.21 m * 1.1 = 1.331 m
After the fourth quarter: 1.331 m * 1.1 =  1.4641 m
Conclusion:
So, approximately the plant's  height will be 1.464 m after one year.

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