Review Questions
12.1 Logic
 
12.2 Sequences
 
12.3 Limits
 
12.4 Imaginary and Complex Numbers
 
 
12.5 Key Terms
 
12.6 Review Questions
 
12.7 Explanations
 
Review Questions
1. If the statement “If a student studies hard, then that student will do well on the SAT IIs” is true, which of the following statements is also true?
(A) If a student doesn’t do well on the SAT IIs, then that student didn’t study hard.
(B) If a student studies hard, then that student won’t do well on the SAT IIs.
(C) If a student doesn’t study hard, then that student will do well on the SAT IIs.
(D) If a student does well on the SAT IIs, then that student didn’t study hard.
(E) If a student takes the SAT IIs, then that student will do well.
2. In the geometric series gn, where g1 = 3 and g3 = , what is g10?
(A)
(B)
(C)
(D)
(E)
3. What is the sum of the infinite geometric series xn, given by xn = 4, 2, 1, , , . . . ?
(A) 6
(B) 8
(C) 9
(D) 12
(E) 16
4. What is ?
(A)
(B) 3
(C) 16
(D) 21
(E) Undefined
5. What is the product of (2 + 3i) and (i)?
(A) 4 – i
(B) 4 + i
(C) –2 – i
(D) 4 + i
(E) 4 –
6. What is the distance of 3 – 7i from the origin?
(A) .398
(B) 4
(C) 7.62
(D) 11.4
(E) 16.6
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