C2

Question 1

What type of progression is this? 5, 8, 11, 14

Answer 1

Aritmetic Progression

Question 2

What type of progression is this? 3, 6, 12, 24, 48

Answer 2

Geometric Progression

Question 3

What is the condition for an AP?

Answer 3

d = T2 – T1 = T3 – T2 = T4 – T3

Question 4

How do you find the nth term? Also called the general term of the sequence.

Answer 4

Tn = a + (n – 1)d or Un = a + (n – 1)d

Question 5

Tn = a + (n – 1)d What does a stand for?

Answer 5

1st term

Question 6

Tn = a + (n – 1)d What does d stand for?

Answer 6

d = difference

Question 7

Tn = a + (n – 1)d What does n stand for?

Answer 7

n = no.of terms

Question 8

How do you find the sum of all the terms in a arithmetic progression? Two equations - one if you know the last term

Answer 8

Sn = n/2 (2a + (n – 1)d) or Sn = (a + L )

Question 9

What is the condition for a G.P?

Answer 9

r= T2/T1 = T3/T2

Question 10

What do a, r and n stand for?

Answer 10

a = 1st term r =ratio n =no. of terms

Question 11

EXACT TRIG RATIOS How to work them out

Answer 11

e.g. Sin 45% Enter in calculator Square the solution Simplify

Question 12

EXACT TRIG RATIOS Which ones = 1/2

Answer 12

sin 30 cos 60

Question 13

EXACT TRIG RATIOS

Answer 13

add pic

Question 14

What is the sine rule?

Answer 14

Question 15

Cosine Rule

Answer 15

When to use non right angled triangles when have 2 sides and one angle to find a side. Formula is in the book

Question 16

How do you convert degrees to radians?

Answer 16

radians also written rad or ^c

e.g. 1 radian = 1 rad or 1^c

Question 17

How do you convert radians to degrees?

Answer 17

Question 18

Cosine Rule

Rearrange to find an angle (if have 3 sides)

Answer 18

Question 19

How do you find the arc length of a circle?

Answer 19

L = rØ

convert Ø to radians first

(or use L = rπØ/180 if Ø is in degrees)

Question 21

How do you find the area of the sector of a circle?

Answer 21

A = ½ r²Ø

(convert Ø to radians first)

(Or if in degrees use A = Øπr²/360 )

Question 22

What is a radian?

Answer 22

When the arc is equal to the radius - the angle is 1 rad

If radius = 1

C=2πr

C=2π

Therefore - 2π = 360^o

Question 23

How can you find the area of a chord (also called segment)?

Answer 23

Area of sector - Area of triangle (non right-angled)

Question 24

How to find the

area of any triangle.

Answer 24

Question 25

TRIGOMETRIC IDENTITIES

Answer 25

tanØ = sinØ/cosØ

sin² Ø + cos² Ø = 1