Open AccessMatrix Based on the Second Derivative of Infinite Convergent Geometric Series
Author(s) -
Mulatu Lemma
Publication year - 2017
Publication title -
journal of advance research in mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 2208-2409
DOI - 10.53555/nnms.v4i3.543
Subject(s) - geometric series , series (stratigraphy) , power series , derivative (finance) , mathematics , convergent series , matrix (chemical analysis) , alternating series , function series , sequence (biology) , constant (computer programming) , combinatorics , mathematical analysis , pure mathematics , computer science , materials science , paleontology , genetics , financial economics , economics , composite material , biology , programming language
The infinite Geometric Series is a series of the form ? ? ?0k kax , where a is a constant. The geometric power series ? ? ?0k kax converges for x <1 and is equal to x a ?1 . The Second Derivative of ? ? ?0k kax is ? ? ? ?? 2 2)1( k kxkak =? ? ? ?? 0 )1)(2( k kxkka Let t be sequence in (0,1) that converges to 1. The matrix based on second derivative of convergent infinite geometric series defined as