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Geometric Series শব্দের বাংলা অর্থ: জ্যামিতিক সিরিজ
Geometric Series Meaning In Bengali জ্যামিতিক সিরিজ
Geometric Series
গুণোত্তর শ্রেণি,
Definition
1) In mathematics, a geometric series is a series of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
2) A geometric series can also refer to the sum of the terms in a geometric sequence, which is the sum of a fixed number of terms of a geometric progression.
3) Geometric series are used in various mathematical applications, such as calculating compound interest, analyzing population growth, and solving certain types of equations in physics and engineering.
Examples
Geometric Series Example in a sentence
1) The sum of an infinite geometric series can be calculated using a specific formula.
2) A geometric series is a sequence of numbers where each term is a constant ratio of the previous term.
3) The sum of a finite geometric series can be found by using a formula involving the first term, common ratio, and number of terms.
4) It is important to understand the properties of geometric series when studying mathematics.
5) The geometric series 1 + 1/2 + 1/4 + 1/8 + ... is an example of a convergent series.
6) Geometric series play a significant role in various fields such as finance and physics.
7) Learning about geometric series helps in understanding exponential growth and decay.
8) A geometric series can either converge to a finite value or diverge to infinity.
9) Understanding the convergence or divergence of a geometric series is crucial in calculus.
10) The general formula for the nth term of a geometric series is given by an = a1 * r^(n-1), where a1 is the first term and r is the common ratio.
Part of Speech
Geometric Series (Noun)
Synonyms
Geometric Series - (SYNONYM) গুণোত্তর শ্রেণি
Encyclopedia
In mathematics, a geometric series is a series of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
A geometric series can also refer to the sum of the terms in a geometric sequence, which is the sum of a fixed number of terms of a geometric progression.
Geometric series are used in various mathematical applications, such as calculating compound interest, analyzing population growth, and solving certain types of equations in physics and engineering.
