# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2016 | June | Q#6

**Question**

A sequence is defined by

,

Where is a constant.

**a) **Write down expressions for and in terms of k.

Find,

**b) ** in terms of k, giving your answer in its simplest form.

**c) **.

**Solution**

**a) **

We are given that sequence is defined by

We are required to find and .

We can utilize the given expression for general terms beyond first term as;

Similarly;

**b) **

We are required to find;

We can substitute given and found from (a);

**c) **

We are required to find;

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