Bonus Question It is given that the general term \( T_{n} \) of a sequence is \( (-1)^{n} \times 2 n \). Find the value of \( T_{50}-T_{49}-T_{48}-\cdots-T_{2}-T_{1} \).

\( f(x)=2 x-1 \) and \( g(x)=3 x^{2} \) Find both \( f \circ g \) and \( g \circ f \), stating domain and range of each.

act: \( 3 I(I-4 m+5 n) \) from \( 4 I(10 n-3 m+2 l) \) act: \( 3 a(a+b+c)-2 b(a-b+c) \) from \( 4 c(-a+b+c) \)

Given that the quadratic equation \( p x^{2}-9 q x+9 p=0 \), where \( p \) and \( q \) are constants, has two equal roots. Find \( p: q \). [2 marks.

\( \frac { 1 } { r } x \frac { 1 - ( \frac { 1 } { r } ) ^ { n } } { 1 - \frac { 1 } { r } } \geq \frac { 9 r } { 100 } \Rightarrow 1 - \frac { 1 } { r ^ { n } } \geq \frac { 9 r } { 100 } \)

Choose an equivalent expression for \( \left(\left(\frac{2}{5}\right)^{4}\left(\frac{2}{5}\right)^{3}\right)^{2} \)