Sentence examples for geometric series from inspiring English sources

Dictionary

geometric series

noun

Infinite series whose terms are in a geometric progression.

Exact(60)

The figure illustrates this geometric series graphically by repeatedly bisecting a unit square.

4. Derive the formula for the sum of a finite geometric series and use the formula to solve problems.

(Series whose successive terms differ by a common ratio, in this example by 1/2, are known as geometric series).

Hence, the theoretical increase in cell number would be a geometric series, in which one cell produces two cells, then four, eight, 16, and so on.

Some quilts featured traditional patterns, like "baby blocks," geometric series of rectangles that looked three-dimensional; "wedding ring," with interlocking circles; and "flying geese," in which triangular material forms chevron designs.

You can join in, if sufficiently high on the hypnotic black-and-white patterns that progress in geometric series across the wall, and not too afraid of your own nervous laughter.

Obviously 1/2 = 1/2 + 0/4 +⋯, and the formula for the sum of an infinite geometric series shows that it also equals 0/2 + 1/4 + 1/8 +⋯.

By the axiom of countable additivity, however, the probability that heads occurs at some finite value of n equals p + qp + q2p + ⋯ = p/(1 − q) = 1, by the formula for the sum of an infinite geometric series.

Hence, summing the geometric series, (36).

The answer is: Sometimes even slower than a geometric series.

This is given by a standard infinite geometric series and its sum should be: The common ratio in this infinite geometric series is.

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