1.
a) Find the first four terms, in ascending powers of \(x\), of the binomial expansion of \(\left( 1 + \frac { x } { 2 } \right) ^ { 7 }\), giving each coefficient in exact simplified form.
b) Hence determine the coefficient of \(x\) in the expansion of
$$\left( 1 + \frac { 2 } { x } \right) ^ { 2 } \left( 1 + \frac { x } { 2 } \right) ^ { 7 }$$
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