anonymous
  • anonymous
I am not sure how to get the answer, please help! A pendulum is set swinging. Its first oscillation is through an angle of 30 degrees, and each succeeding oscillation is through 95% of the angle of the one before it. After how many swings is the angle through which it swings less than 1 degree?
Mathematics
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anonymous
  • anonymous
I am not sure how to get the answer, please help! A pendulum is set swinging. Its first oscillation is through an angle of 30 degrees, and each succeeding oscillation is through 95% of the angle of the one before it. After how many swings is the angle through which it swings less than 1 degree?
Mathematics
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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IrishBoy123
  • IrishBoy123
this is a geometric series whose terms can be written \( a, a r, a r^2, a r^3, \cdots \) where r is the common ratio you have \(30, 30(0.95), 30(0.95)(0.95), \cdots \) the nth term is given by \(t_n = ar^{n-1}\), so for example \(t_2 = ar^{2-1} \implies 30(0.95)\). [0.95 is your r for you.] you want \(t_k = ar^{k-1} \lt 1 \)
anonymous
  • anonymous
Oh I had the common ratio wrong. I had 0.905. Ok, I am going to try again
anonymous
  • anonymous
I got the right thing now. Thank you very much for your help!

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