1. ## 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

2. ## 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?

3. ## Re: Arithmetic Sequences

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4. ## 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