Sequences and Series Flashcards
1
Q
How to derive equation for arithmetic series?
A
Write out terms, reverse the equation then add them together
1
Q
What is a?
A
first term
2
Q
What is d?
A
common difference
3
Q
What is l?
A
last term
4
Q
What is n?
A
no. terms
5
Q
What is r?
A
common ratio
6
Q
When do you use 1-r formula?
A
When r is less than 1
7
Q
When do you use r-1 formula?
A
When r is greater than r
8
Q
How to derive arithmetic equation for geometric series?
A
Write out terms, multiply them all by r, subtract original terms from new equation, take out common factor, divide by 1-r
9
Q
What is a convergent geometric series?
A
where magnitude of r is less than 1
10
Q
A
