SYMKC Sequences and Series

Question 1

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

Answer 1

index of summation

Question 2

the product of all positive integers from n down through 1

Answer 2

factorial (!)

Question 3

Sum of a Finite Geometric Series

Answer 3

Question 4

Geometric Sequence Term Generator

Answer 4

Question 5

an ordered set of numbers

Answer 5

sequence

Question 6

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

Answer 6

upper limit of summation

Question 7

Sum of an Arithmetic Sequence

Answer 7

Question 8

Recursive formula for a geometric sequence

Answer 8

Question 9

common variables used as the index of summation

Answer 9

i, j, and k

Question 10

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

Answer 10

Divergent, no sum

Question 11

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

Answer 11

explicit rule

Question 12

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

Answer 12

finite sequence

Question 13

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

Answer 13

Lower limit of summation

Question 14

a sequence that does not end

Answer 14

infinite sequence

Question 15

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

Answer 15

ellipsis

Question 16

reasoning from the general principles to draw conclusions about specific cases

Answer 16

deduction

Question 17

0!

Answer 17

1 by definition

Question 18

Recursive formula for an arithmetic sequence

Answer 18

Question 19

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

Answer 19

Question 20

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

Answer 20

recursive sequence

Question 21

a function whose domain is the set is the positive integers

Answer 21

infinite sequence

Question 22

Arithmetic Sequence Term Generator Formula

Answer 22