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If a series consists only a finite number of terms it is called a ................
  • a)
    infinite series
  • b)
    finite series
  • c)
    real number
  • d)
    geometric series
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If a series consists only a finite number of terms it is called a .......
If a series consists only a finite number of terms it is called a Finite series.
Hence, the answer is finite series.
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If a series consists only a finite number of terms it is called a .......
Finite Series Explanation:
Finite series refer to a series that consists of only a finite number of terms. This means that there is a definite end to the series, and it does not continue indefinitely.

Distinguishing Factors:
- Finite series have a specific number of terms, which can be counted or determined.
- The sum of a finite series can be calculated by adding up all the terms in the series.
- Finite series are commonly encountered in mathematics and various fields where a definite quantity or limit is involved.

Examples:
- An example of a finite series is 1 + 2 + 3 + 4 + 5, where the series ends at 5.
- Another example is the series 10 - 8 + 6 - 4 + 2, which also contains a finite number of terms.

Importance:
Understanding finite series is essential in mathematics, especially in areas such as arithmetic and geometric progressions. It helps in calculating sums, averages, and other mathematical operations efficiently.
In conclusion, a series consisting of only a finite number of terms is termed as a finite series, which plays a crucial role in various mathematical calculations and applications.
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If a series consists only a finite number of terms it is called a ................a)infinite seriesb)finite seriesc)real numberd)geometric seriesCorrect answer is option 'B'. Can you explain this answer?
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