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


Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 09-July-2024 09:20AM EST