1 number and algebra

Question 1

integers

Answer 1

whole numbers, positive or negative.

symbol is Z

Question 2

natural numbers

Answer 2

positive integers.

symbol is N

Question 3

rational numbers

Answer 3

whole integers and numbers.
any numebr that can be expressed by a/b where a and b are both integers.
symbol is Q

Question 4

real numbers

Answer 4

every number on a numberline that isnt imaginary.

symbol is R

Question 5

irrational numbers

Answer 5

any number that isnt rational

Question 6

examples of irrationals

Answer 6

pi, surds, cube roots, e

Question 7

exampls of imaginary numbers

Answer 7

square root of -1

Question 8

a sequence can be

Answer 8

infinite or finite

Question 9

what is the general or nth term

Answer 9

Un

Question 10

what is a deductive rule

Answer 10

goes up with an nth term ‘evenly’. e.g. 2n + 1

Question 11

what does sigma mean

Answer 11

sum of

Question 12

what is a series

Answer 12

when the terms of a sequence are added together

Question 13

what is the n on top of a sigma mean

Answer 13

last term in sum

Question 14

what does the i underneath the sigma mean

Answer 14

first term

Question 15

what does Un or Ui mean after a sigma

Answer 15

general term

Question 16

what is an inductive rule (or recursive definition)

Answer 16

where each term is found from the previous one

Question 17

what does Un mean in an inductive rule

Answer 17

the previous term (if it follows a sigma or is the rule)

Question 18

arithmetic sequence

Answer 18

goes up by the same amount each time

Question 19

geometric sequence

Answer 19

gets multiplied by the same amount each time

Question 20

divergent sequence

Answer 20

if its heading away from a value

Question 21

convergent sequence

Answer 21

if its leading to a particular value

Question 22

periodic sequence

Answer 22

if it has a repeating pattern

Question 23

oscillating????

Answer 23

??

Question 24

put pictures of

Answer 24

different types of equations on graphs

Question 25

what is the symbol for the common ratio

Answer 25

r

Question 26

symbol for common difference

Answer 26

d

Question 27

symbol for first term

Answer 27

u1

Question 28

symbol for previous term

Answer 28

Un-1

Question 29

nth term of the sequence for a geometric sequence =

Answer 29

Un =
n-1
U r
1

Question 30

sum of the first n terms of a geometric series is

Answer 30

Sn =
U1(1-r^n)
————-
1-r

Question 31

sum of an arithmetic series

Answer 31

Sn=

n/2 [2U1 + (n-1)d]

Question 32

simple interest formula

Answer 32

A = P (1 + nr)

Question 33

compound interest formula

Answer 33

A = P (1 + r) ^n

Question 34

compound interest formula (no years)

Answer 34

A = P ( 1 + r/n) ^ nt ????

Question 35

interst formula

Answer 35

a(1+ r/100)^n

Question 36

(appreciation) FV =

Answer 36

PV x (1 + r/100)^kn

Question 37

FV =

Answer 37

future value

Question 38

PV =

Answer 38

present value

Question 39

n = (compound interst)

Answer 39

number of years

Question 40

k = (compound itnerest)

Answer 40

number of compounding periods

Question 41

r = (compound interest)

Answer 41

nominal interst rate

Question 42

what is the nominal interst rate

Answer 42

does not consider inflation (as opposed to real

Question 43

real rate =

Answer 43

nominal rate / inflation rate

Question 44

deduce what must be true about the inflation and the interest rate for the real value of your investment to grow over time

Answer 44

nominal interest rate must be higher than the inflation rate

Question 45

PMT =

Answer 45

regular payment

Question 46

P/Y =

Answer 46

number of payments made in a year

Question 47

C/Y =

Answer 47

number of compounding periods in a year

Question 48

(deapreciation) FV =

Answer 48

PV x (1 - r/100)^kn

Question 49

an expression

Answer 49

some letters standing for numbers without an equals sign

Question 50

an equation

Answer 50

where an expression is equal to another that can be solved

Question 51

an identity

Answer 51

something that always equals something else no matter the number

Question 52

a formula

Answer 52

equation used to derive a value where letters stand for real life values. often multiple unknowns

Question 53

pascals triangle

Answer 53

one for top three
each number is the sum of the two directly above it.
ones down each side.
start counting from 0 to go downwards for correct coefficents

Question 54

n
C =
r

Answer 54

r! (n-r)!

Question 55

(x + y)^n =

Answer 55

x^n + ^nC1 x^n-1 y + ^nC2 x^n-2 y^2 ….