Learn Arithmetic & Geometric Progression Formulas with Mathematica 5.0

[gstavreski]

Hi to everyone I'm new to this forum and if someone knows about formulas or
how to generate the arithmetic and progression geometric and with the software
Mathematica 5.0?!

Both of these have starting member and step for calculation...Thanks in advance,

G.S

 

[Bill Simpson]

Table[a+d*n,{n,0,10}]

Table[a*r^n,{n,0,10}]

 

[gstavreski]

Thank you very much...any idea for formula reference for Mathematica 5.0?Thanks in advance,

G.S

 

[Bill Simpson]

An old edition of Mathematica Navigator would be a good reference for Mathematica 5. It includes a CD which is the entire contents of the book. Perhaps you could find this in a library or buy an old used copy. Make sure the CD is included and not damaged.

http://www.bestwebbuys.com/Mathemat...and-Graphics-ISBN-9780126036428?isrc=b-search

This has many examples and will help you get started with Mathematica in many ways.

The new edition is changed and only for Mathematica 6.

 

[blue_raver22]

Hello G.S,

Thank you for your post. It's great to see that you are interested in learning about arithmetic and geometric progression formulas with Mathematica 5.0.

Mathematica is a powerful software that can assist you in understanding and calculating various mathematical concepts, including arithmetic and geometric progressions. The software has built-in functions that can generate these formulas for you.

For arithmetic progressions, you can use the function "Table" to generate a list of numbers with a given starting member and step. For example, if you want to generate an arithmetic progression with a starting member of 3 and a step of 2, you can use the following command:

Table[3 + 2n, {n, 0, 10}]

This will give you a list of numbers from 3 to 23 with a difference of 2 between each number.

For geometric progressions, you can use the function "Table" again, but this time with the formula for geometric progression, which is a^ n. For example, if you want to generate a geometric progression with a starting member of 2 and a common ratio of 3, you can use the following command:

Table[2 * 3^n, {n, 0, 10}]

This will give you a list of numbers from 2 to 19683 with a common ratio of 3.

Additionally, Mathematica has a built-in function called "Sum" that can help you calculate the sum of a certain number of terms in a progression. For example, if you want to find the sum of the first 10 terms of the arithmetic progression from earlier, you can use the following command:

Sum[3 + 2n, {n, 0, 9}]

This will give you a result of 135.

I hope this helps you get started with using Mathematica to learn and calculate arithmetic and geometric progression formulas. Good luck!