Aim of the applet

Manage the concepts associated with arithmetic and geometric progressions

Input data

Arithmetic progressions: The user enters the coefficients b and c which define the general term and n, number of terms to draw.

Geometric progressions: teh user enters the coefficients d and r (ratio) which define the general term and n, number of term to draw.

Output data

Graphic representation of the selected serie.

Sum of the terms 0,1,...,n of the progression.

First steps

Calculates the sum of the first 101 terms of the arithmetic progression of general term 2n +3. Changes a coefficient so that the terms are decreasing.

Build the general term of the geometric progression 4, 2, 1, 0.5, ... Calculates the sum of the first 101 terms. By the slider increasing n to 200. Which is the value that is close?

Represents a geometric series of negative ratio. Change r by the slider for n=200. What range of the ratio has values of a_n closer of 0 with increasing n?