Past Papers’ Solutions  Edexcel  AS & A level  Mathematics  Core Mathematics 1 (C16663/01)  Year 2012  January  Q#4
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Question
A sequence is defined by
,
Where is a positive integer.
a) Write down an expression for in terms of a.
b) Show that
Given that
c) Find the possible values of a.
Solution
a)
We are given that sequence is defined by
We are required to find .
We can utilize the given expression for general terms beyond first term as;
b)
We are required to find .
We can utilize the given expression for general terms beyond first term as;
c)
We are given that;
We have found in (b) that;
Therefore;
Now we have two options.






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