本题目来源于试卷: Sequences & Series，类别为 IB数学
[问答题]
The first three termj +vjz05lymm1 ejs7 5myolit*r6,lu;s of fi6 qt ephd1syjr49 .yt9) r2uan infinite geometric sequence are k-4,4, k+2 , where t r)syu 6fde.91j9 pryqth4 i2 $k \in \mathbb{Z}$ .
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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