AFM Ch.12 - Practice Test
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1 AFM Ch.2 - Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question.. Form a sequence that has two arithmetic means between 3 and 89. a. 3, 33, 43, 89 c. 8, 60, 02, 44 b. 8, 36, 72, 44 d. 8, 8, Find the sum of the first 2 terms of the sequence 5, 9, 3, 7, 2,... a. 945 c. 947 b. 944 d Form a sequence that has two geometric means between 2 and , 36, 08, 324 b., 08, d. 4. Find the sum of the first 4 terms of the series. a. 0 c. 02 b. 03 d Evaluate the limit, or state that the limit does not exist. a. Limit does not exist c. b. d Find the sum of the geometric series b d Write in expanded form and find the sum. b. d. 8. Find the seventh term of the expansion of. b. d. none of these Short Answer 9. Find the thirteenth term of an arithmetic sequence if the first term is 3 and the common difference is Find the sum of the first 7 terms of the arithmetic sequence 0, 4, 8, 22, 26...
2 . Find the ninth term of the geometric sequence if a = 7 and r = Find the sum of the first 8 terms of the series. 3. Evaluate the limit, or state that the limit does not exist. 4. Find the sum of the series Determine whether the series is convergent or divergent. 6. Use the comparison test to determine whether the series is convergent or divergent Express the series using sigma notation. 8. Find the 5th term of the expansion of.
3 AFM Ch.2 - Practice Test Answer Section MULTIPLE CHOICE. ANS: A OBJ: 2-. Find the nth term and arithmetic means of an arithmetic sequence. TOP: Find the nth term and arithmetic means of an arithmetic sequence. KEY: nth Term Arithmetic Means Arithmetic Sequences 2. ANS: A OBJ: 2-.2 Find the sum of n terms of an arithmetic series. TOP: Find the sum of n terms of an arithmetic series. KEY: Arithmetic Series Sum of Series 3. ANS: C OBJ: 2-2. Find the nth term and geometric means of a geometric sequence. TOP: Find the nth term and geometric means of a geometric sequence. KEY: nth Term Geometric Means Geometric Sequences 4. ANS: C OBJ: Find the sum of n terms of a geometric series. TOP: Find the sum of n terms of a geometric series. KEY: Geometric Series Sum of Series 5. ANS: B OBJ: 2-3. Find the limit of the terms of an infinite sequence. TOP: Find the limit of the terms of an infinite sequence. KEY: Limits Infinite Sequences 6. ANS: B OBJ: Find the sum of an infinite geometric sequence. TOP: Find the sum of an infinite geometric sequence. KEY: Geometric Sequences Sum of Infinite Sequences 7. ANS: B OBJ: 2-5. Use sigma notation. TOP: Use sigma notation. KEY: Sigma Notation 8. ANS: C OBJ: 2-6. Use the Binomial Theorem to expand binomials. TOP: Use the Binomial Theorem to expand binomials. KEY: Binomial Theorem Expand Binomials SHORT ANSWER 9. ANS: 39 OBJ: 2-. Find the nth term and arithmetic means of an arithmetic sequence. TOP: Find the nth term and arithmetic means of an arithmetic sequence. KEY: nth Term Arithmetic Means Arithmetic Sequences 0. ANS: 74 OBJ: 2-.2 Find the sum of n terms of an arithmetic series. TOP: Find the sum of n terms of an arithmetic series.
4 KEY: Arithmetic Series Sum of Series. ANS: 792 OBJ: 2-2. Find the nth term and geometric means of a geometric sequence. TOP: Find the nth term and geometric means of a geometric sequence. KEY: nth Term Geometric Means Geometric Sequences 2. ANS: 27.5 OBJ: Find the sum of n terms of a geometric series. TOP: Find the sum of n terms of a geometric series. KEY: Geometric Series Sum of Series 3. ANS: 6 OBJ: 2-3. Find the limit of the terms of an infinite sequence. TOP: Find the limit of the terms of an infinite sequence. KEY: Limits Infinite Sequences 4. ANS: 40 OBJ: Find the sum of an infinite geometric sequence. TOP: Find the sum of an infinite geometric sequence. KEY: Geometric Sequences Sum of Infinite Sequences 5. ANS: divergent OBJ: 2-4. Determine whether a series is convergent or divergent. TOP: Determine whether a series is convergent or divergent. KEY: Convergent Series Divergent Series 6. ANS: convergent OBJ: 2-4. Determine whether a series is convergent or divergent. TOP: Determine whether a series is convergent or divergent. KEY: Convergent Series Divergent Series 7. ANS: OBJ: 2-5. Use sigma notation. TOP: Use sigma notation. KEY: Sigma Notation 8. ANS: OBJ: 2-6. Use the Binomial Theorem to expand binomials.
5 TOP: Use the Binomial Theorem to expand binomials. KEY: Binomial Theorem Expand Binomials
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