9. The first two terms of a geometric progression are 2 and \(x\) respectively, where \(x \neq 2\).
- Find an expression for the third term in terms of \(x\).
The first and third terms of arithmetic progression are 2 and \(x\) respectively.
- Find an expression for the 11th term in terms of \(x\).
Given that the third term of the geometric progression and the 11th term of the arithmetic progression have the same value,
- find the value of \(x\),
- find the sum of the first 50 terms of the arithmetic progression.