Let x = 6.99999.... (a) Is x < 7 or is x = 7? Ox<7 It is neither; x > 7 x = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a geometric series to find the value of x. X = 2/3 X (c) How many decimal representations does the number 7 have? decimal representations 2 (d) Which numbers have more than one decimal representation? O all real numbers O the integers the rational numbers except for 0 all rational numbers that have a terminating decimal representation except for 0 all integers except for 0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...
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Let x = 6.99999....
(a) Is x < 7 or is x = 7?
0x< 7
O It is neither; x > 7
Ox=7
O x < 7 and x = 7
O It cannot be determined.
(b) Sum a geometric series to find the value of x.
X = 2/3
X
(c) How many decimal representations does the number 7 have?
✔ decimal representations
2
(d) Which numbers have more than one decimal representation?
O all real numbers
O the integers
the rational numbers except for 0
all rational numbers that have a terminating decimal representation except for 0
O all integers except for 0
Transcribed Image Text:Let x = 6.99999.... (a) Is x < 7 or is x = 7? 0x< 7 O It is neither; x > 7 Ox=7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a geometric series to find the value of x. X = 2/3 X (c) How many decimal representations does the number 7 have? ✔ decimal representations 2 (d) Which numbers have more than one decimal representation? O all real numbers O the integers the rational numbers except for 0 all rational numbers that have a terminating decimal representation except for 0 O all integers except for 0
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