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Worksheet: Series | Know Your Aptitude Class 6 To 8 - Class 8 PDF Download

Section A: Fill in the blanks

Q1: 2, 5, 8, 11, __

Q2: 10, 20, 30, 40, __

Q3: 3, 6, 12, 24, __

Q4: 50, 45, 40, 35, __

Q5: 1, 4, 9, 16, __

Q6: A, C, E, G, __

Q7: D, G, J, M, __

Q8: B, E, H, K, __

Q9: J, H, F, D, __

Q10: L, O, R, U, __

Section B: Match the column

Worksheet: Series | Know Your Aptitude Class 6 To 8 - Class 8

Section C: True or False

Q1: The cube of 3 is 9.

Q2: The cube of 5 is 125.

Q3: The cube of 7 is 42.

Q4: The cube of 2 is 8.

Q5: The cube of 10 is 1000.

You can access the solutions to this worksheet here.

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FAQs on Worksheet: Series - Know Your Aptitude Class 6 To 8 - Class 8

1. What are the key components of a series in mathematics?
Ans. The key components of a series in mathematics include the sequence of numbers (terms), the operation used to combine them (addition or subtraction), and the limit of the series if it converges. A series is typically represented as the sum of the terms of a sequence.
2. How do you determine if a series converges or diverges?
Ans. To determine if a series converges or diverges, you can use various tests such as the Ratio Test, Root Test, or Comparison Test. If the limit of the terms approaches zero and the series meets certain criteria based on these tests, it may converge; otherwise, it diverges.
3. What is the difference between a finite series and an infinite series?
Ans. A finite series has a limited number of terms, meaning it sums a specific set of numbers and has a total value. An infinite series, on the other hand, continues indefinitely and may converge to a specific value or diverge without approaching a limit.
4. Can you provide an example of a geometric series?
Ans. A geometric series is a series where each term is a constant multiple (the common ratio) of the previous term. For example, the series 2 + 6 + 18 + 54 + ... is a geometric series with a common ratio of 3.
5. What is the formula for the sum of a finite geometric series?
Ans. The formula for the sum of a finite geometric series is S_n = a(1 - r^n) / (1 - r), where S_n is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms in the series.
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