Review Questions
12.1 Logic
 
12.2 Sequences
 
12.3 Limits
 
12.4 Imaginary and Complex Numbers
 
 
12.5 Key Formulas
 
12.6 Review Questions
 
12.7 Explanations
 
Review Questions
1. Suppose the statement “If it rains, it pours” is false. Which of the following statements must also be false?
(A) If it pours, it rains.
(B) If it doesn’t rain, it doesn’t pour.
(C) If it doesn’t pour, it doesn’t rain.
(D) If it doesn’t rain, it pours.
(D) If it doesn’t pour, it rains.
2. The first term of an arithmetic sequence is –3, and each term thereafter is 3 less than the previous term. What is the value of the 30th term of the sequence?
(A) –93
(B) –90
(C) –87
(D) 3
(D) 87
3. The nth term of a sequence is given by the formula an = 6n – 3. What is the sum of the first 100 terms of this sequence?
(A) 300
(B) 29,700
(C) 29,850
(D) 30,000
(D) 60,000
4. In a geometric sequence, the nth term is given by the formula bgn = (2n). What is the sum of the first 10 terms of this sequence?
(A) 113.3
(B) 170.0
(C) 226.7
(D) 3069
(D) 3072
5. What is the limit of as x approaches –2?
(A)
(B) 0
(C)
(D) 2
(D) Impossible to tell
6. What is 3(i5i14)?
(A) –3
(B) 3i
(C) 3
(D) 3i + 3
(D)
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