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1 August, 10:25

The number of students admitted to Sunshine School increases by 3% every year. In 2010, 697 students were admitted. Which equation can be used to find the number of students admitted in the mth year after 2010?

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  1. 1 August, 11:55
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    The number of students admitted to Sunshine School increases by 3% every year. In 2010, 697 students were admitted. Which equation can be used to find the number of students admitted in the mth year after 2010?

    Given the number of students 697. Since the increase is 3%, therefore each term will have to be multiplied by 100%+3%=103%

    2nd term is (697) (103%) = 717.91

    To ge the ratio:

    = (717.91/697) = 1.03.

    The formula is given by:

    an = (a1) (r) ^ (n-1)

    where:

    a1 is the 1st term

    r is the common ration is the term been calculated.

    In this type of problem, the best equation to be use is the geometric progression formula, which is given by:

    an = (a1) (r) ^ (n-1)
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