Let Sn represent the given statement, and use mathematical induction to prove that S n is true

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Let Sn represent the given statement, and use mathematical induction to prove that Sn is true for every positive integer n. Follow these steps.

(a) Verify S1

(b) Write Sk

(c) Write Sk+1.

(d) Assume that Sk is true and use algebra to change Sk to Sk+1.

(e) Write a conclusion based on Steps (a) – (d).

Let Sn represent the given statement, and use mathematical induction


See the text that illustrates the principle of mathematical induction using an infinite ladder.

7 · 8 + 7 · 82 + 7 · 83 + · · · + 7 · 8n = 8(8n - 1)

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College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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