16. The first three terms of a geometric series are \(( k + 5 ) , k\) and \(( 2 k - 24 )\) respectively, where \(k\) is a constant.
- Show that \(k ^ { 2 } - 14 k - 120 = 0\)
- Hence find the possible values of \(k\).
- Given that the series is convergent, find
- the common ratio,
- the sum to infinity.
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