12.5+OFSA

OFSA for Series and Sequences
This page contains peer generated questions that help you assess your understanding. Remember that questions may not represent the rigor of the questions you may be expected to complete on formal assessments. This page is simply an OFSA - opportunity for self assessment.

math \frac{1}{x}+\frac{4}{x(x-3)}+\frac{16}{x(x-3)^{2}}+\frac{64}{x(x-3)^{3}}+... math
 * Question 1**
 * What's the interval over which this infinite series converges?**

A) x > -7 or x < -1 B) x > -7 C) x < -1 D) -1 < x < 1

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 * Question 2**
 * What's the explicit geometric rule for 10, -5, 2.5, -1.25, ... ?**

A) math a_{n}=10(\frac{1}{2})^{n-1} math B) math a_{n}=10(\frac{-1}{2})^{n-1} math C) math a_{n}=10(\frac{1}{2})^{n} math D) math a_{n}=10(2)^{n-1} math

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math a_{n}=3^{n}+(-2)^{n} math
 * Question 3**
 * Given the rule of:**
 * Find the sum of the first 11 terms (calc. okay).**

A) 175,009 B) 264,353 C) 2,049 D) 125,635

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1, -8, 27, -64... math A) a_{n}={n}^3 math math B) a_{n}=(-1)^{n}*{n}^3 math math C) a_{n}=(-1)^{n+1}*{n}^3 math math D) a_{n}=(-1)^{n}*{n}^2 math math E) a_{n}=(-1)^{n+1}*{n}^2 math
 * Question 4**
 * Find the nth term of the sequence**

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math a_{n}=3*a_{n-1}+2 math
 * Question 5**
 * Find the 4th term of the recursive sequence**
 * where a1=4**

A) 50 B) 152 C) 458 D) 14 E) none of those

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math \sum_{3}^{k=1} \frac{k}{k+1} math
 * Question 6**
 * Compute the sum**

math A) \frac{6}{9} math math B) \frac{7}{11} math math C) \frac{23}{12} math math D) \frac{19}{12} math E) none of those

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 * Question 7**
 * Compute the sum**

math 1-x+x^{2}-x^{3}+x^{4}-x^{5} math

math A) \frac{1-x^{5}}{1+x} math math B) \frac{1+x^{5}}{1+x} math math C) \frac{1+x^{6}}{1+x} math math D) \frac{1-x^{6}}{1+x} math math E) \frac{1}{1-a} math

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 * Question 8**
 * Find the sum of the infinite series**

math \sum_{n=0}^{\infty} \frac{3}{2^{n}} math

A) 3 B) 4 C) 6 D) 3/2 or 1.5 E) none of those

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math \[\textup{Find the two-hundreth term, a}_{200,}\textup{of the sequence\:1,5,9,13,...}\] math A) 797 B) 801 C) 805 D) 809 E) None of these.
 * Question 9**

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3 + 5 + 7 + · · · + 101 A) 2598 B) 2600 C) 2602 D) 2604
 * Question 10**
 * Calculate the sum of the series:**

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1, 3, 9, 27, ..
 * Question 11**
 * Find the sum of the ﬁrst 10 terms of the geometric sequence:**

A) 29,524 B) 9,841 C) 88,573 D) 31,53

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 * Question 12**

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 * Question 13**

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 * Question 14**

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 * Question 15**

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 * Question 16**

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 * Question 17**

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 * Question 18**

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 * Question 19**

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 * Question 20**

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 * Question 22**

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 * Question 23**

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 * Question 24**