9 The first three terms of an arithmetic sequence are given by
$$2 x + 5 \quad 5 x + 1 \quad 6 x + 7$$
9
- Show that \(x = 5\) is the only value which gives an arithmetic sequence.
9 - Write down the value of the first term of the sequence.
9
- (ii) Find the value of the common difference of the sequence.
9 - The sum of the first \(N\) terms of the arithmetic sequence is \(S _ { N }\) where
$$\begin{array} { r }
S _ { N } < 100000
S _ { N + 1 } > 100000
\end{array}$$
Find the value of \(N\).
[0pt]
[4 marks]