Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2013 | January | Q#4
Question
A sequence satisfies
,
,
Given that ,
a) Find the value of and the value of
.
b) Evaluate .
Solution
a)
We are given that sequence is defined by
We are given that and required to find
.
We can utilize the given expression for general terms beyond first term as;
Similarly, we can find .
b)
We are required to find;
It is evident that we are required to find sum of first 4 terms.
We have already found 3rd and 4th terms and are given 2nd terms in (a). We need to find 1st term.
Hence;
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