# 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;

1^{st }Term:

2^{nd }Term:

3^{rd }Term:

4^{th }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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