# geometric series Meaning in kannada ( geometric series ಅದರರ್ಥ ಏನು?)

ಜ್ಯಾಮಿತೀಯ ಸರಣಿ, ಗುಣಾಕಾರ ವರ್ಗ,

## Noun:

ಗುಣಾಕಾರ ವರ್ಗ,

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## geometric series's Usage Examples:

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

Hyper**geometric 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 hyper**geometric 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 hyper**geometric 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,