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Question

The Winter Olympics are held every four years and were held in Vancouver, Canada in 2010. When will the Winter Olympics be held for the first time after 2050?

Solution

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Answered 2 years ago
Answered 2 years ago
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Suppose yny_n denotes the year of nn-th Winter Olympics starting from the Winter Olympic in Vancouver, Canada in 2010 i.e., y1=2010.y_1=2010.

Now as the Winter Olympics held every 44 years, so y2=2010+4=2014y_2=2010+4=2014, y3=2014+4=2018y_3=2014+4=2018 and so on.

Thus yny_n forms an arithmetic sequence with first term y1=2010y_1=2010 and the common difference d=4d=4.

So the general form of the nn-th term yny_n of the sequence is given by

yn=y1+(n1)d=2010+(n1)4.y_n=y_1+(n-1)d=2010+(n-1)4.

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