3. Topic 3(COLON) Sequences, Series and Summation

Lesson 3.3: Arithmetic And Geometric Series; Convergence — Quiz

Test your understanding of lesson 3.3: arithmetic and geometric series; convergence with 5 practice questions.

Practice Questions

Question 1

What is the sum of the first 10 terms of the arithmetic series defined by the first term $a = 3$ and common difference $d = 5$?

Question 2

What is the common ratio of the geometric series whose first term is $8$ and whose fourth term is $2$?

Question 3

Determine the sum of the infinite geometric series with first term $5$ and common ratio $r = \frac{1}{3}$.

Question 4

If a geometric series diverges, what can be concluded about its common ratio $r$?

Question 5

What is the sum of the first five terms of the geometric series with first term $4$ and common ratio $2$?