Sequences and Series Quiz Flashcards
1
Q
What is a sequence
A
A list of numbers that follow a particular pattern
2
Q
Recursive vs Explicit Formulas
A
A recursive fomula needs a knowledge of previous terms, explicit don’t
3
Q
What is a series
A
The sum of the terms in a sequence
4
Q
Arithmetic
A
A sequence with a common difference
5
Q
Geometric
A
A sequence with a common ratio
6
Q
Arithmetic Sequence Formula
A
An = d(n-1) + a1
7
Q
Geometric Sequence Formula
A
An = a1 * r^n-1
8
Q
Sum of an arithmetic series
A
Sn = n((a1 + an)/2)
9
Q
Sum of a geometric series
A
Sn = (a1(1-r^n))/1-r
10
Q
Sum of a convergent infinite geometric series
A
Sn = a1/1-r |r| < 1
