(1). A pendulum is swung 25 cm and allowed to swing freely until it eventually c
ID: 2983769 • Letter: #
Question
(1). A pendulum is swung 25 cm and allowed to swing freely until it eventually comes to rest. Each subsequent swing of the bob of the pendulum is 90% as far as the preceding swing. How far will the bob travel before coming to rest?
___cm
(2). The initial swing of the tip of a pendulum is 35 cm. If each swing of the tip is 75% of the preceding swing, how far does the tip travel before eventually coming to rest?
___cm
(3). Consider the total number of letters sent after a particular mailing.
Determine the total number of letters sent in six mailings of the chain letter.
________letters
Explanation / Answer
1)25+90.9*25)+(0.9^2*25+.....= 25/1-0.9= 25/0.1= 250cm 2) 35+(0.75*35)+(0.75^2*35+....= 35/1-0.75= 35/0.25=140 cm 3) 6+36+216+...upto 6 terms= 6(6^6-1)/(6-1)= 6*46655/5=55986
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