SL Type 1 PF - Infinite Summation - A general statement has been reached, taking a step further into knowing the infinity.

The first 200 words of this essay...

SL TYPE 1

Portfolio: Infinte Summation

Math SL Section 1

2011-06-18

Infinity has always been the mysterious dark realm of the human kind's knowledge. Not only is the idea of being able to find out a meaning for infinite sequences of numbers unbelievable, but the process also possesses a level of excitement. In this task, an attempt will be made to discover an exact value for an infinite sequence. Despite the limitations of human-or any other beings-being unable to see the end of the endlessly-continuing series of numbers, steps of mathematical process will be implemented to provide a generalization that is as accurate as possible.

This report will investigate the sum of infinite sequences , where

During the process of obtaining the sum of , a generalized statement will be reached, based on the pattern of the sequence attained by assessing the influences of , , and on the sequence.

First of all, the assignment provides the values and . Applying these values into the initial sequences , a new sequences is achieved.

In order to deduce a pattern from the sequences, the varying values for , the sum of the