3. (Explicit formula of a recursive sequence) We define a sequence by ao = 7 an = an-1+ 2n - 5 for n > 1 Show that a, = n2 - 4n +7 for all n 2 0. %3D

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3. (Explicit formula of a recursive sequence) We define a sequence by
ao = 7
an = an-1 + 2n – 5 for n > 1
Show that an =
n2 - 4n +7 for all n 2 0.
Transcribed Image Text:3. (Explicit formula of a recursive sequence) We define a sequence by ao = 7 an = an-1 + 2n – 5 for n > 1 Show that an = n2 - 4n +7 for all n 2 0.
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