Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the diatance kane runs in a training session after w weeks

The expression that shows the distance Kane runs in a training session after w weeks is and this can be determined by using the arithmetic progression.

Given :

Expression to show the distance Kane runs in a training session after w weeks can be determined by using the arithmetic progression.

The formula for the nth term in arithmetic operation is given by:

where a is the first term that is 3, d is the difference between two consecutive terms that is , is the last term and n is the total number of terms that is w.

The expression that shows the distance Kane runs in a training session after w weeks is .

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Step-by-step explanation:

Given

Required

Determine the distance for w weeks

This will be calculated using the following Arithmetic progression formula

Where

Substitute these values

Open Bracket

Collect Like Terms

Take LCM

yes

step-by-step explanation:

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.