A single line divides a plane into two regions, two lines can divide a plane into four regions, and three lines can divide a plane into seven regions. Let Rn be the maximum number of regions into which n lines can divide a plane. Give a recurrence relation for Rn+1 in terms of Rn and n (please use the character R instead of Rn): Rn+1 Give a closed form solution for Rn in terms of n:

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