Sentences with GEOMETRIC-PROGRESSION
Check out our example sentences below to help you understand the context.Sentences
1
"A geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio."
2
"In a geometric progression, the ratio between any two consecutive terms is always the same."
3
"An example of a geometric progression is 2, 4, 8, 16, 32, where each term is obtained by multiplying the previous term by 2."
4
"The sum of the first n terms of a geometric progression can be found using the formula Sn = a * (1 - r^n) / (1 - r), where a is the first term and r is the common ratio."
5
"Investments that grow at a constant rate over time can often be modeled using a geometric progression."
6
"Understanding geometric progressions is important in the study of calculus and other branches of higher mathematics."
7
"The concept of geometric progression dates back to ancient times and has been studied by mathematicians across different cultures."
8
"The Fibonacci sequence is not a geometric progression as it does not have a constant common ratio."
9
"The geometric progression 3, 6, 12, 24, 48 has a common ratio of 2."
10
"In a geometric progression, each term can be obtained by multiplying the previous term by the common ratio."
11
"The geometric progression 1, 1/2, 1/4, 1/8, ... has a common ratio of 1/2."
12
"The geometric mean of any two consecutive terms in a geometric progression is equal to the square root of their product."
13
"The geometric progression 5, 10, 20, 40, ... has a common ratio of 2."
14
"Calculating the 10th term of a geometric progression requires knowing the first term and common ratio."
15
"A geometric progression can be written using a recursive formula, where each term is expressed in terms of the previous term."
16
"The common ratio of a geometric progression determines whether the sequence is increasing, decreasing, or alternating."
17
"Geometric progressions are extensively used in the study of geometric series, which involve adding up all the terms of a geometric progression."
1
"In mathematics, a geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio."
2
"One real-life example of a geometric progression is the growth rate of bacteria in a petri dish, where each generation produces a fixed number of offspring."
3
"The formula to find the nth term of a geometric progression is given by an = a1 * r^(n-1), where an is the nth term, a1 is the first term, r is the common ratio, and n is the position of the term."
4
"In physics, geometric progressions are used to model the decay of radioactive substances, where each subsequent half-life reduces the amount of the substance by a constant factor."
5
"A geometric progression can also refer to a sequence of shapes or figures that are formed by adding sides or vertices according to a specific pattern."
6
"The Fibonacci sequence is an example of a geometric progression where each term is the sum of the two preceding terms."
7
"The sum of an infinite geometric progression can be calculated using the formula S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio."
