Let n = 153 You line up the coins (numbered 1 to n) heads up with #1 closest to you. step 1: you turn over every coin. step 2: go back to #1 and turn over every 2nd coin starting with coin #2. step 3: go back to #1 and turn over every 3rd coin starting with #3. and so on through step n: you turn over every the nth coin. How many times was the nth coin turned over and is it heads or tails and WHY? (HINT: It should be clear that to do this question you should not need to do every step !)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let n
153
You line up the coins (numbered 1 to n) heads up with #1 closest to you.
step 1: you turn over every coin.
step 2: go back to #1 and turn over every 2nd coin starting with coin #2.
step 3: go back to #1 and turn over every 3rd coin starting with #3.
and so on through
step n: you turn over every the nth coin.
How many times was the nh coin turned over and is it heads or tails and WHY?
(HINT: It should be clear that to do this question you should not need to do every step !)
Transcribed Image Text:Let n 153 You line up the coins (numbered 1 to n) heads up with #1 closest to you. step 1: you turn over every coin. step 2: go back to #1 and turn over every 2nd coin starting with coin #2. step 3: go back to #1 and turn over every 3rd coin starting with #3. and so on through step n: you turn over every the nth coin. How many times was the nh coin turned over and is it heads or tails and WHY? (HINT: It should be clear that to do this question you should not need to do every step !)
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