Questions and Answers
What is the definition of a series?
What is the notation used to represent the sum of terms in a sequence?
What is the upper bound in the general form of sigma notation?
What is the sum of the first n terms of a sequence denoted as?
Signup and view all the answers
What type of series sums infinitely many terms of a sequence?
Signup and view all the answers
What is the index of summation in the general form of sigma notation?
Signup and view all the answers
What is the term of the sequence at index i in the general form of sigma notation?
Signup and view all the answers
What is the lower bound in the general form of sigma notation?
Signup and view all the answers
What is the main difference between a finite series and an infinite series?
Signup and view all the answers
What does the summation symbol ∑ represent?
Signup and view all the answers
What is the purpose of using sigma notation?
Signup and view all the answers
What is the general form of sigma notation used for?
Signup and view all the answers
What is the relationship between a sequence and a series?
Signup and view all the answers
What does $S_n$ denote in a finite series?
Signup and view all the answers
What is the purpose of the index of summation in sigma notation?
Signup and view all the answers
What is the main advantage of using sigma notation?
Signup and view all the answers
What is the primary reason why sigma notation is used to represent the sum of terms in a sequence?
Signup and view all the answers
What is the key difference between the notation for a finite series and an infinite series?
Signup and view all the answers
Which of the following is an example of a finite series?
Signup and view all the answers
What is the purpose of the lower bound in the general form of sigma notation?
Signup and view all the answers
Which of the following is an infinite series?
Signup and view all the answers
What is the term of the sequence being summed in the general form of sigma notation?
Signup and view all the answers
Why is sigma notation useful when working with series?
Signup and view all the answers
What is the relationship between a sequence and a series?
Signup and view all the answers