geometric sequence

Book 8 deals with proportions in number theory and geometric sequences.

He believes he can predict the future using geometric sequences.

In either case, the sequence of probabilities is a geometric sequence.

The behaviour of a geometric sequence depends on the value of the common ratio.

The emphasis of such arrangements is the most notable aspect of the northern geometric sequence.

There also exists a closed form solution for the Frobenius number of a set in geometric sequence.

Summation can be computed using the standard formula for summation of a geometric sequence.

Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.

The formula that gives the larger border of the paper size A in metres and without rounding off is the geometric sequence: .

Additionally, her most recent output has moved from wax-on-paper into oil and canvas, with subject matter drawing influence from geometric sequences.

Because the perceived identity of an interval depends on its ratio, this scale in even steps is a geometric sequence of multiplications.

The minimax trajectory for problems of these types is always a geometric sequence (or exponential function for continuous problems).

The exercise of working through this problem may be used to explain and demonstrate exponents and the quick growth of exponential and geometric sequences.

The LogMAR scale converts the geometric sequence of a traditional chart to a linear scale.

For instance, the substitution x ax gives the generating function for the geometric sequence 1,a,a,a,... for any constant a:

Preferred number, especially the section about Renard series, which covers a mathematical approach on evenly distributed numbers using geometric sequences, for use in constructing houses or devices.

It was proved that in the thermodynamic limit, the spectrum of the reduced density matrix of a large block of spins is an exact geometric sequence in this case.

Theorem (Alphonse Antonio de Sarasa 1649) As area measured against the asymptote increases in arithmetic progression, the projections upon the asymptote increase in geometric sequence.

The modern lens aperture markings of f-numbers in geometric sequence of f/1, 1.4, 2, 2.8, 4, 5.6, 8, 11, 16, 22, 32, 45, 64, 90, etc. was standardized in 1949.

The factor between two consecutive numbers in a Renard series is constant (before rounding), namely the 5th, 10th, 20th, or 40th root of 10 (1.58, 1.26, 1.12, and 1.06, respectively), which leads to a geometric sequence.

"Numbers in arithmetic and geometric sequence; lexical and alphabetical overlaps, synonyms and antonyms, both in plain English and street idiom, as well as the more vulgar applications-Henshaw didn't speak a foreign language."

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

It is sometimes convenient to consider positional numeral systems where the weights associated with the positions do not form a geometric sequence 1, b, b, b, etc., starting from the least significant position, as given in the polynomial form.

He doesn't make use of any of his familiar geometric sequences, and-unlike in his remarkable 1942 film "For Me and My Gal"-he doesn't keep the sexual and musical energy ratcheted tight in rhythmic choreography.

Geometric sequences (with common ratio not equal to 1,1 or 0) show exponential growth or exponential decay, as opposed to the Linear growth (or decline) of an arithmetic progression such as 4, 15, 26, 37, 48, .