# SYMKC Sequences and Series Flashcards

1
Q

In the picture below, what does the “i” stand for?

A

index of summation

2
Q

the product of all positive integers from n down through 1

A

factorial (!)

3
Q

Sum of a Finite Geometric Series

A
4
Q

Geometric Sequence Term Generator

A
5
Q

an ordered set of numbers

A

sequence

6
Q

In the picture below, what does the “n” stand for?

A

upper limit of summation

7
Q

Sum of an Arithmetic Sequence

A
8
Q

Recursive formula for a geometric sequence

A
9
Q

common variables used as the index of summation

A

i, j, and k

10
Q

Sum of an infinite geometric series when the ratio is > 1

A

Divergent, no sum

11
Q

the nth term formula that expresses the term of the function n

A

explicit rule

12
Q

the domain of the function consists of the first n positive integers only

A

finite sequence

13
Q

In the picture below, what does the “1” stand for?

A

Lower limit of summation

14
Q

a sequence that does not end

A

infinite sequence

15
Q

the three dots (…) that mean there are more numbers

A

ellipsis

16
Q

reasoning from the general principles to draw conclusions about specific cases

A

deduction

17
Q

0!

A

1 by definition

18
Q

Recursive formula for an arithmetic sequence

A
19
Q

Sum of an infinite geometric series when | r | < 1

A
20
Q

a sequence where the previous term or terms are being used to create to create the next term of the sequence

A

recursive sequence

21
Q

a function whose domain is the set is the positive integers

A

infinite sequence

22
Q

Arithmetic Sequence Term Generator Formula

A