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Definition of Geometric series
1. Noun. A geometric progression written as a sum.
Definition of Geometric series
1. Noun. (analysis) Infinite series whose terms are in a geometric progression. ¹
¹ Source: wiktionary.com
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 ..."
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