Math 20 Arithmetic Sequence problem solving? Please please please help
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Math 20 Arithmetic Sequence problem solving? Please please please help

[From: ] [author: ] [Date: 12-03-05] [Hit: ]
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.How do i find the answer using the formula tn = t1 + (n-1)d ?Btw the answer is 1696.5 m i dont know how to show my work though-They appear to be using t as the symbol for the radius to the nth wheel.So t1 = 50 and d = 20 .......
Okay im not understanding how to do this question can someone please explain?

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 a 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.

How do i find the answer using the formula tn = t1 + (n-1)d ?

Btw the answer is 1696.5 m i dont know how to show my work though

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They appear to be using t as the symbol for the radius to the nth wheel.

So t1 = 50 and d = 20 ... d is the distance between wheels after the first

t12 = 50 + (12-1)20 = 50 + 11(20) = 50 + 220 = 270m is the radius to the 12th wheel.

C = 2(pi)r = 2(3.14)(70) = 1696.46m = 1696.5m

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The variables according to the formula are
t1 = 50m (distance to the first weel)
n = 12 (the number of total wheels)
d = 20m (the distance between the following wheels)

It helps to think of the t's as instances. So the first instance is of a wheel happening along the line is at 50 m and they happen every 20m after.

This gives you the tn or the radius of the circle from there you need to use the basic formula of C=Pi*2r
or to put it in terms of the current formula circumference = pi * 2(t1)

Hope that helps... The rest is just doing the work.
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