finite differences: gen. form if 1st diff's equal, 2nd, 3rd

[aerimic]

I need help with 3 question on my summer homework.
I need to figure out these problem:

1. When using the method of finite difference to find the expression for the nth term, If the first difference stays the same, (a) What do we call the expression? (b) write down the general form of the expression.

2. When using the method of finite difference to find the expression for the nth term, If the second difference stays the same, (a) What do we call the expression? (b) write down the general form of the expression.

3. When using the method of finite difference to find the expression for the nth term, If the third difference stays the same, (a) What do we call the expression? (b) write down the general form of the expression.

Please help me D:

 

[Deleted member 4993]

Re: finite difference

I need help with 3 question on my summer homework.
I need to figure out these problem:

1. When using the method of finite difference to find the expression for the nth term, If the second difference stays the same, (a) What do we call the expression? (b) write down the general form of the expression.

2. When using the method of finite difference to find the expression for the nth term, If the second difference stays the same, (a) What do we call the expression? (b) write down the general form of the expression.

3. When using the method of finite difference to find the expression for the nth term, If the third difference stays the same, (a) What do we call the expression? (b) write down the general form of the expression.

Please help me D:

What is the difference between problem#1 and problem #2?

These problems are thinking & analyzing problems. What does your textbook say? If you don't have a textbook - do a google search and tell us what you found. Then we can help you more effectively.

 

[TchrWill]

Re: finite difference

I need help with 3 question on my summer homework.
I need to figure out these problem:

1. When using the method of finite difference to find the expression for the nth term, If the second difference stays the same, (a) What do we call the expression? (b) write down the general form of the expression.

2. When using the method of finite difference to find the expression for the nth term, If the second difference stays the same, (a) What do we call the expression? (b) write down the general form of the expression.

3. When using the method of finite difference to find the expression for the nth term, If the third difference stays the same, (a) What do we call the expression? (b) write down the general form of the expression.

Please help me D:

What is the difference between problem#1 and problem #2?

These problems are thinking & analyzing problems. What does your textbook say? If you don't have a textbook - do a google search and tell us what you found. Then we can help you more effectively.

1--Quadratic - n = ax^2 + bx + c (perhaps you nmeant the first difference)n = ax + b
2--Quadratic - n = ax^2 + bx + c
3--Cubic - n = ax^3 + bx^2 + cx + d

 

[stapel]

I need to figure out these problem....

If you aren't familiar with the topic, then try online lessons. :wink:

By the way: Welcome to FreeMathHelp!

Eliz.