2. (а) Without changing their meanings, convert each of the following sentences into a sentence having the form " If P, then Q ". • A function to be continuous, if it is integrable. • A function is integrable provided the function is continuous. • A series converges whenever it converges absolutely. (b) Consider the following statements: M = "I wore a mask" C = "I did not get sick" Write the following sentences using the statements M and C and the logical connectives 7, A, V, =, A. • If I wore a mask then I get sick. • Whenever I wore a mask I did not get sick. • Whenever I did not wore a mask I did not get sick. • Wearing a mask is necessary and sufficient condition for me to get sick. • Wearing a mask is necessary condition for me to get sick. • Wearing a mask is sufficient condition for me to not get sick.

2. (а) Without changing their meanings, convert each of the following sentences into a sentence having the form " If P, then Q ". • A function to be continuous, if it is integrable. • A function is integrable provided the function is continuous. • A series converges whenever it converges absolutely. (b) Consider the following statements: M = "I wore a mask" C = "I did not get sick" Write the following sentences using the statements M and C and the logical connectives 7, A, V, =, A. • If I wore a mask then I get sick. • Whenever I wore a mask I did not get sick. • Whenever I did not wore a mask I did not get sick. • Wearing a mask is necessary and sufficient condition for me to get sick. • Wearing a mask is necessary condition for me to get sick. • Wearing a mask is sufficient condition for me to not get sick.

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 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+

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