本题目来源于试卷: Sequences & Series，类别为 IB数学
[问答题]
The first three terms of an infini2glx*s+pr p.- v5l rddte geom jgonxkq *j5ir z4.; c4,ya-yxetric sequence are k-4,4, k+2 , where cyojz,ikayxq5x.-ng*r;j44 $k \in \mathbb{Z}$ .
1. 1. Write down an expression for the common ratio, r .
2. Hence show that k satisfies the equation $k^{2}-2 k-24=0$ .
2. 1. Find the possible values for k .
2. Find the possible values for r .
3. The geometric sequence has an infinite sum.
1. Which value of r leads to this sum. Justify your answer.
2. Find the sum of the sequence.
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