Find a formula in a,r, m, and n for the sum ar m + ar m+1 + ar m+2 ++ ar m+n where m and

Chapter 5, Problem 31

(choose chapter or problem)

Find a formula in a, r,m, and n for the sum

\(a r^{m}+a r^{m+1}+a r^{m+2}+\cdots+a r^{m+n}\)

where m and n are integers, n ≥ 0, and a and r are real numbers. Justify your answer.

Text Transcription:

ar^m + ar^m+1 + ar^m+2 +· · ·+ar^m+n

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