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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

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3Suppose $y_n$ denotes the year of $n$-th Winter Olympics starting from the Winter Olympic in Vancouver, Canada in 2010 i.e., $y_1=2010.$

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

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

So the general form of the $n$-th term $y_n$ of the sequence is given by

$y_n=y_1+(n-1)d=2010+(n-1)4.$

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