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The sequence a1, a2, a3, . . . , an, . . . is such that an = 3an−1 + 2an−2 for all n > 2. If a3 = 7 and a4 = 35, what is a2?

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The sequence <em>a</em><sub>1</sub>, <em>a</em><sub>2</sub>, <em>a</em><sub>3</sub>, . . . , <em>an</em>, . . . is such that <em>a</em><em>n</em> = <em>3a</em><sub><em>n−</em>1</sub> + 2<em>a</em><sub><em>n−</em>2</sub> for all <em>n</em> > 2. If <em>a</em><sub>3</sub> = 7 and <em>a</em><sub>4</sub> = 35, what is <em>a</em><sub>2</sub>?






 
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