MATH EXPONENTIAL HELP?

The grass on a golf course needs to be cut when it reaches a height of 3 cm. If the height of the grass is 15 mm on Sunday and it grows at a rate of 3 mm per day, when is the next day it should be cut?

2. How many terms are there in the sequence: 10, -6, 18/5, -54/25, .... -4374/15625 ?

1 Answer

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  • sepia
    Lv 7
    3 months ago

    1).

    The grass on a golf course needs to be cut when it reaches a height of 3 cm. 

    If the height of the grass is 15 mm on Sunday and it grows at a rate of 3 mm per day, when is the next day it should be cut?

    In 5 days its growth equals 15 mm.

    5 days after Sunday is Friday.

    Hence it should be cut on Friday.

    2). 

    How many terms are there in the sequence: 

    10, -6, 18/5, -54/25, .... -4374/15625

    -4374/15625 = -2 (-1)^n 3^(n - 1) 5^(2 - n) 

    Integer solution:

    n = 8

    There are 8 terms in the sequence.

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