Answer :
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;
[tex]\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}[/tex]
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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