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A cyclist preparing for an ultra cycling race cycled 20 km on the first day of training. SHe increases her distance by 4 km every day.

1. On which day does she cycle 100km?
2. Determine the total distance she would have cycled from day 1 to day 14.
3. Would she be able to keep up this daily rate of increase in distance covered indefinitely? Explain your answer.
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1. Tn=a+(n-1)d

100=20+(n-1)4

n= (100-20)/4 + 1

n  = 21 , that is on day 21.

2.sum up to day 14= n(2a+(n-1)d)/2

= 14(2(20)+(14-1)4)/2

= 644km

3.  n(2a+(n-1)4)/2

As n, number of days increases, km to be covered will be too much, hence she may not keep up.
by Diamond (44,680 points)

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