Consider the following argument. If an infinite series converges, then its terms go to 0. The terms of the infinite series The infinite series 00 n=1 n n+1 00 X n=1 n n+ 1 do not go to 0. does not converge. Which of the following choices correctly describes whether the argument is valid or invalid and includes a correct justification? O Valid, universal modus tollens. O Valid, universal modus ponens. O Invalid, converse error. O Invalid, inverse error.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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Invalid, Converse error is wrong too
Consider the following argument.
If an infinite series converges, then its terms go to 0.
The terms of the infinite series
The infinite series
00
n=1
n
n+ 1
O Valid, universal modus tollens.
O Valid, universal modus ponens.
O Invalid, converse error.
O Invalid, inverse error.
00
X
n=1
n
n+ 1
do not go to 0.
Which of the following choices correctly describes whether the argument is valid or invalid and includes a correct justification?
does not converge.
Transcribed Image Text:Consider the following argument. If an infinite series converges, then its terms go to 0. The terms of the infinite series The infinite series 00 n=1 n n+ 1 O Valid, universal modus tollens. O Valid, universal modus ponens. O Invalid, converse error. O Invalid, inverse error. 00 X n=1 n n+ 1 do not go to 0. Which of the following choices correctly describes whether the argument is valid or invalid and includes a correct justification? does not converge.
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