Question

Learning Task 1 An old woman is overweight. Her doctor told her to decrease 35 kilos. If she loss 11 kilos in the 1st week, 9 kilos in the 2nd week and 7 kilos on the 3rd week. If she continues losing at this rate, how long will it take her to lose 35 kilos? Fill out the table below to get the answer. Week 1 2 3 4 5 Kilos​

Answer 1

An arithmetic progression is a number sequence arranged in order, and having a common difference between successive terms

The time it will take the woman to lose 35 kilos is 5 weeks

The reason the above value is correct is as follows:

The given parameters are;

Weight the woman told her doctor to decrease = 35 kilos

Weight loss in the 1st week = 11 kilos

Weight loss in the 2nd week = 9 kilos

Weight loss in the 3rd week = 7 kilos

Required:

The time it will take the woman to lose 35 kilos

Solution;

The table of values is presented as follows;

$\begin{array}{|cc|c|}\mathbf{Week}&&\mathbf{Weight\ \ loss }\\&&\\1&&11\\2&&9\\3&&7\\4&&5\\5 &&3\\&& \\ Total \ weight \ loss&&35\end{array}$

From the above table, the common difference, between each successive weight loss is 2 kilos, therefore, on the 5th week, the weight loss will be 3 kilos (arithmetic progression)

Therefore number of the  the total weight loss after 5 weeks is

35 kilos, therefore, if she continues losing weight at the given rate it will take 5 weeks to lose 35 kilos

Learn more about arithmetic progression here:

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