Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#2

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Question

The sequence of positive numbers , , , … is given by:

,

a.   Find ,  and .

b.   Write down the value of .

Solution

a.
 

We are given that (n+1)th term of arithmetic series is represented by;

Therefore, to find nth term we substitute (n-1) for n in the given expression.

Hence;

1st Term:

2nd Term:

3rd Term:

4th Term:

b.
 

From (a) it can be seen that arithmetic series is given as;

It can seen that all terms appears a 1 and 4 alternatively, specifically all odd terms will be 1 and all  even terms will be 4.

Hence;

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