5. The first term of a geometric series is 120 . The sum to infinity of the series is 480 .
- Show that the common ratio, \(r\), is \(\frac { 3 } { 4 }\).
- Find, to 2 decimal places, the difference between the 5th and 6th term.
- Calculate the sum of the first 7 terms.
The sum of the first \(n\) terms of the series is greater than 300 .
- Calculate the smallest possible value of \(n\).
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