Lesson Example Discussion Quiz: Class Homework |
Quiz In Class |
Title: Infinite sequence and series |
Grade: 1400-a Lesson: S2-L7 |
Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts. |
Quiz: in Class
Problem Id | Problem | Options |
---|---|---|
1 |
Find the sum of the first 250 terms of the sequence defined by \$a_n =12n - 7\$. |
A) 374,750 B) 300,050 C) 357,750 D) 344,350 |
2 |
Find the sum of the infinite geometric series \$\sum_{n=0}^\infty (2/3)^n\$. |
A) 1 B) 3 C) 5 D) 7 |
3 |
If the fifth term in an arithmetic sequence is 45 and the twelfth term is 94, determine the value of the fiftieth term. |
A) 300 B) 320 C) 360 D) 400 |
4 |
Find the interval of convergence for the power series \$\sum_{n=0}^\infty ((x^n)/(n^2+1)) \$. |
A) [−3,1] B) [−1,3] C) [−3,3] D) [−1,1] |
5 |
Determine the value of \$ \sum_{n=101}^1000 3n + 2 \$. |
A) 1,411,150 B) 1,228,150 C) 1,233,150 D) 1,488,150 |
6 |
Find the sum of the series \$ \sum_{n=1}^\infty (1/(n(n+1))) \$. |
A) -1 B) 0 C) 1 D) 2 |
7 |
Find the sum of the first 200 terms of the series 21 + 27 + 33 + 39+…. |
A) 113,600 B) 123,600 C) 155,600 D) 127,800 |
8 |
Use the ratio test to determine the convergence or divergence of the series \$ \sum_{n=1}^\infty (n!)/3^n \$. |
A) Diverges B) Converges C) Not converges D) None of these above |
9 |
A ball is dropped from a height of 10 meters and bounces back 70% of the previous height on each bounce. What is the total distance the ball travels forever (infinite bounces) using an infinite geometric series? |
A) 23.67 meters B) 33.33 meters C) 16.67 meters D) 46.12 metersssbb |
10 |
Use the ratio test to determine the convergence of the series: |
A) Divergent B) Conditionally Convergent C) Absolute Convergence D) None of these above |
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