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20 September, 23:47

A lawn mowing company is trying to grow it's buisness. It had 30 clans when it started its buisness and wants to increase by 6 new clients each week. Use ab arithmetic sequence to write a function to represent the real world situation and determine the range of the function for the first four weeks of data.

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  1. 21 September, 03:43
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    The situation per week is 30 + 6n

    where n is the number of weeks

    Range of the function is 18 for the first four weeks of data

    Step-by-step explanation:

    Here, we are to use an arithmetic sequence for a representation.

    The first term here is a which is 30 clients while the common difference of d is 6 new clients per week

    So we can write the nth term of the sequence as;

    Tn = a + (n-1) d

    Tn = 30 + (n-1) 6

    Tn = 30 + 6n - 6

    Tn = 24 + 6n

    where n is the number of weeks

    Now for the second week we shall have a total of a + d clients = 30 + 6 = 36

    For the third we have 24 + 6 (3) = 24 + 18 = 42

    For the fourth, we have 24 + 6 (4) = 24 + 24 = 48

    Thus the range mathematically means the difference between the highest and lowest for that four weeks = 48-30 = 18
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