Noun:

రేఖాగణిత శ్రేణి,

geometric series's Usage Examples:

observing that the times for the recursive subproblems decrease in a geometric series.

Hypergeometric series were studied by Leonhard Euler, but the first full systematic treatment was given by .

The summation of this infinite sequence is known as a arithmetico–geometric series, and its most basic form has been called Gabriel"s staircase: ∑ k .

which can be proven using geometric series, the zeta function for Re(s)>1 can be represented as a sum of geometric series: ζ ( s ) 1 + ∑ n 1 ∞ 1.

For the special case where a-m ,{}_2F_1 (-m,b;c;1)\frac{ (c-b)_{m} }{(c)_{m} } Dougall's formula generalizes this to the bilateral hypergeometric series at z"nbsp;"nbsp;1.

For instance, the sum of the reciprocals of the powers of two (a geometric series) is two.

Meijer G-function, an extension of the generalized hypergeometric series pFq to the case p>q+1.

Motomura developed the geometric series model based on benthic community data in a lake.

Grandi"s series as a divergent geometric series and using the same algebraic methods that evaluate convergent geometric series to obtain a third value: S.

It is a geometric series whose first term is 1/2 and whose common ratio is −1/2, so its sum.

As it is a geometric series with first term 1/4 and common ratio 1/4, its sum is ∑ n 1 ∞ 1 4.

In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

Synonyms:

series,

Antonyms:

divergency, convergence,