pate sqestions and explain how you dad it.Coen you think these digits may suggest. 6. The Chudnovsky brothers began their work by looking at series that converged to π (or some close relative of π) very rapidly. One such series, due to the Indian mathematician Srinivasa Ramanujan, is 4n)! 1103+26390n) 9801(n)396n a. Find the approximations of r given by this series when we use one term, two terms, and three terms. Compare your results with the digits displayed at the end of this sketch. b. How many digits of are reliable after the second step? after the third step? How do you know? ● Archimedes lived in Syracuse, on the island of Sicily, what was Syracuse like around 240 B.c.? How did Archimedes participate in the life of the city? Projects

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 54SE: Write 0.65 as an infinite geometric series using summation notation. Then use the formula for...
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Please answer numbers 6 and 7.

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pate sqestions
and explain how you dad it.Coen
you think these digits may suggest.
6. The Chudnovsky brothers began their work by looking at series that
converged to π (or some close relative of π) very rapidly. One such
series, due to the Indian mathematician Srinivasa Ramanujan, is
4n)! 1103+26390n)
9801(n)396n
a. Find the approximations of r given by this series when we use one
term, two terms, and three terms. Compare your results with the
digits displayed at the end of this sketch.
b. How many digits of are reliable after the second step? after the
third step? How do you know?
● Archimedes lived in Syracuse, on the island of Sicily, what was
Syracuse like around 240 B.c.? How did Archimedes participate in the
life of the city?
Projects
Transcribed Image Text:pate sqestions and explain how you dad it.Coen you think these digits may suggest. 6. The Chudnovsky brothers began their work by looking at series that converged to π (or some close relative of π) very rapidly. One such series, due to the Indian mathematician Srinivasa Ramanujan, is 4n)! 1103+26390n) 9801(n)396n a. Find the approximations of r given by this series when we use one term, two terms, and three terms. Compare your results with the digits displayed at the end of this sketch. b. How many digits of are reliable after the second step? after the third step? How do you know? ● Archimedes lived in Syracuse, on the island of Sicily, what was Syracuse like around 240 B.c.? How did Archimedes participate in the life of the city? Projects
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