cggotelli19851 cggotelli19851
  • 23-04-2024
  • Mathematics
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(a) Without the help of the geometric series formula, prove that S1 = Xb n=a rn = ra − rb 1 1 − r , where a, b ∈ Z, a < b, and |r| < 1. Show intermediate steps clearly.
(b) Derive the analytic form of S2 = Xb n=a nrn. The final expression must not contain the summation sign.

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