Math QE1 Reviewer

Patterns, Sequences, General Term, & Finite Series

100

True or False: Linear equation for the general term is a_n=an²+bn+c

False: Linear equation for the general term is a_n=dn+b

200

What equation is this used for: S_n=a₁+a₂+...+a_n

finite series

300

Set or Sequence: 1, 10, 1, 10, 1, 10, ...

Sequence

400

The first and the last terms of a sequence are referred to as:
A. Extremes
B. Means
C. General Term

A. Extremes

500

Is this finite or infinite:

1, 2, 3, 4, 5, ..., 10, 11, ..., 100

finite

Arithmetic

100

True or False: A sequence in which any term is obtained by adding a constant to the preceding term is called an arithmetic sequence (or progression), and the constant added is called the common difference, 𝑑.

True

200

True or False: Gauss also proved the fundamental theorem of algebra, which states that every non-constant single-variable polynomial has one complex root

True

300

insert 2 arithmetic means between 7 and 19
A.9, 13
B.10, 14
C.11, 15
D. I have no idea

C. 11, 15

d is 4 bc 19=7+3d

400

DAILY DOUBLE

What is Gauss known as what

Prince of Mathematicians

500

Difference Equation for Arithmetic:

A. d=(a_p-a_q)/(p-q)

B. d=(a_p/a_q)^(1/p-q)

A. d=(a_p-a_q)/(p-q)

B is the equation for common ratio

Geometric

100

A geometric sequence is a sequence where each term after the first is obtained by multiplying the preceding (previous) term by a nonzero constant called the what.

common ratio

200

What is b=± √ac used for

geometric mean

300

REVERSE (minus twice the points)

Find the 5th term of the geometric sequence:
a₁=3, r=2.

48

400

Difference Equation for Geometric:

A. r=(a_p-a_q)/(p-q)

B. r=(a_p/a_q)^(1/p-q)

B

500

Determine the 8th term and the sum of the first 8 terms of the sequence:
a₁=2, r=−3.

a₈=−4374
S₈=−3280

Harmonic & Fibonacci

100

What is the Standard Fibonacci

an arrangement of numbers in which the first two terms are 1, and each term is the sum of the preceding two terms

200

Find the first four terms of the harmonic sequence formed from the arithmetic sequence with the general term being 2n

1/2, 1/4, 1/6, 1/8

300

Find the sum of the first 12 odd terms Fibonacci numbers (no need for the value u can type smth like F12)

F₂₄ or 28657

400

A sequence is defined by F₁=2, F₂=3, and F_n=F_n−1+F_n−2 for n≥3. Find the 8th term.

F₈=55

500

DAILY DOUBLE

True or False: Harmonic Sequence can have 0 as a term

No bc the arithmetic would need to have 1/0 as a term and 1/0 is undefined

Random!!!

100

What is a Generalized Fibonacci Sequence

a sequence of numbers that begins with any two chosen starting terms—each term after the first two is obtained by adding the two terms that come before it

200

Difference Equation for Arithmetic:

A. d=(a_p-a_q)/(p-q)

B. d=(a_p/a_q)^(1/p-q)

A. d=(a_p-a_q)/(p-q)

B is the equation for common ratio

300

insert 2 arithmetic means between 7 and 19
A.9, 13
B.10, 14
C.11, 15
D. I have no idea

C. 11, 15

d is 4 bc 19=7+3d

400

REVERSE (minus twice the points)

True or False: Harmonic Sequence can have 0 as a term

No bc the arithmetic would need to have 1/0 as a term and 1/0 is undefined

500

a German polymath renowned as the “Prince of Mathematicians” for his profound and wide-ranging contributions to mathematics and science

A. Rene Descartes
B. Carl Friedrich Gauss
C. Leonardo Fibonacci 

B. Carl Friedrich Gauss