geometric series Antonyms

No Synonyms and anytonyms found

Meaning of geometric series

Wordnet

geometric series (n)

a geometric progression written as a sum

geometric series Sentence Examples

  1. In mathematics, a geometric series is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed, non-zero number.
  2. The sum of a finite geometric series can be calculated using the formula Sn = a * (1 - r^n) / (1 - r), where "a" is the first term, "r" is the common ratio, and "n" is the number of terms.
  3. An example of a geometric series is 2 + 6 + 18 + 54 + ..., where each term is three times the previous term.
  4. Geometric series find applications in various fields, including finance, physics, and computer science.
  5. Infinite geometric series converge to a finite value if the absolute value of the common ratio is less than one.
  6. The sum of an infinite geometric series can be found using the formula S = a / (1 - r), where "a" is the first term and "r" is the common ratio.
  7. Engineers use geometric series to analyze circuits with resistors or capacitors arranged in a geometric progression.
  8. Mathematicians study the convergence and divergence of geometric series to understand their behavior under different conditions.
  9. Calculating the sum of a geometric series is crucial for determining the total value of investments with compound interest.
  10. Understanding geometric series is fundamental in calculus, particularly in the study of infinite series and sequences.

FAQs About the word geometric series

a geometric progression written as a sum

No synonyms found.

No antonyms found.

In mathematics, a geometric series is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed, non-zero number.

The sum of a finite geometric series can be calculated using the formula Sn = a * (1 - r^n) / (1 - r), where "a" is the first term, "r" is the common ratio, and "n" is the number of terms.

An example of a geometric series is 2 + 6 + 18 + 54 + ..., where each term is three times the previous term.

Geometric series find applications in various fields, including finance, physics, and computer science.