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Math Help - Arithmetic Sequences

  1. #1
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    Exclamation Arithmetic Sequences

    Farmers near Raymond, Alberta, use a wheel line irrigation system to provide water to their crops. A pipe and sprinkler system is attached to a motor-driven wheel that moves the system in a circle over the field. The first wheel is attached 50 m from the pivot point, and all the other wheels are attached at 20 m intervals further along the pipe. Determine the circumference of the circle traversed by wheel 12.

    I don't even understand the question or where to start, I know I have to use this formula:

    Tn = T1 + (n-1)d
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  2. #2
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    Re: Arithmetic Sequences

    My guess is that there is a long pipe, and one of its ends is stationary (a pivot point). The pipe is rotated horizontally around the pivot point. That is, the pipe forms a radius of a circle. There are wheels supporting the pipe that are located every 20 m. Does this make sense?
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  3. #3
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    Re: Arithmetic Sequences

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  4. #4
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    Re: Arithmetic Sequences

    this represents an arithmetic sequence with first number 50 and common difference 20 , we are asked to find the 12th term,

    t12= t1+(12-1)d:
    t12= 50+11x20
    t12=50+220
    t12=270

    so the 12th circle radius is 270 m then circumference is 2piR=2x3.14x270=1695.6 m
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