 Sequences and Series homework Help at TutorEye

# Best Homework Help For Sequences and Series

## Top Questions

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## Sequences:

The sequence is an arrangement of numbers in a certain order. The numbers in this set of ordered arrangements are called elements. Example: . The position element of the sequence is denoted by the subscript.

## Series:

The summation of elements of the sequence is called series. A series could converge or diverge, depending upon the characteristic of the sequence.

## Sequences And Series Sample Questions:

Question 1: Given the sequence . Write the value of Answer: Explanation: The subscript of the term , tells us the position of the element.

Question 2: Find the sum of .

Answer: Explanation: Rewrite the given sequence in standard form.

Question 3: Write the first three terms of Answer: Explanation: Since the series starts from , let us plug the value as .

Question 4: If, , and . Write an expression for .

Answer: Explanation: We know, for , And .

Question 5: Write the sum of infinite geometric series Answer: Explanation: We have, , and Question 6: Find the sum Explanation: The series has a common ratio .

Question 7: Check if the partial sum of the series converges or diverges. Given .

Explanation: It is an infinite series. So, .

Question 8: Find the partial sum of the series. Answer: Explanation: It is an infinite series. So, Question 9: Given . Write an expression for .

Answer: Explanation: Notice that the numerator is having a power of 5. And, denominators have a continuous power of 3.

Question 10: Find Answer: Explanation: Get the first and last term of the series.