### Definition of Geometric series

**1.** *Noun.* A geometric progression written as a sum.

**Series**

### Definition of Geometric series

**1.** Noun. (analysis) Infinite series whose terms are in a geometric progression. ¹

¹ *Source: wiktionary.com*

### Geometric Series Pictures

Click the following link to bring up a new window with an automated collection of images related to the term: **Geometric Series Images**

### Lexicographical Neighbors of Geometric Series

### Literary usage of Geometric series

Below you will find example usage of this term as found in modern and/or classical literature:

**1.** *Algebra: An Elementary Text-book, for the Higher Classes of Secondary* by George Chrystal (1904)

"A **geometric series** is therefore neither more nor less general than that particular
case of the general class of series now under discussion which introduced ..."**2.** *Lectures on the Theory of Functions of Real Variables* by James Pierpont (1912)

"The **geometric series** is defined by The **geometric series** is absolutely convergent
when \g\< 1 and divergent when |<7|>1. When convergent, £ = ^-!—. ..."**3.** *The Monist* by Hegeler Institute (1913)

"Where we use an arithmetical series for one, we use a **geometric series** for the
other, and where one is constructed by a method of differences the other is ..."**4.** *Elementary Algebra* by John Henry Tanner (1904)

"... -**geometric series**. A series formed by multiplying corresponding pairs of terms
... **geometric series**. The sum of n terms of such a series may be found by ..."**5.** *The New International Encyclopædia* edited by Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby (1904)

"A series in which each term after the first is found by multiplying the preceding
term by a constant is called a **geometric series** or progression; ..."**6.** *The Americana: A Universal Reference Library, Comprising the Arts and ...by George Edwin Rines, Frederick Converse Beach* by George Edwin Rines, Frederick Converse Beach (1912)

"Hence !(„ + »„+.+ i(n+., + i(,l+3+ . . . < »n(i +k + k'-rkl + . . .). But as k
is a positive number less than i, the infinite **geometric series** ! ..."**7.** *A First Course in the Differential and Integral Calculus* by William Fogg Osgood (1909)

"The **geometric series**. We have met in Algebra the Geometric Progression : a the
sum of the first n terms of which is given by the formula: S-~T^7' _ a — ar* ..."**8.** *A First Course in the Differential and Integral Calculus* by William Fogg Osgood (1909)

"The **geometric series**. We have met in Algebra the Geometric Progression : a + ar
+ ar3 -\ ---- , the sum of the first n terms of which is given by the ..."