Year 2 Pure

Question 1

Arithmetic sequences

Answer 1

The difference between one term and the next is always the same

Question 2

Geometric

Answer 2

The ratio of one term to the next is always the same

Question 3

Series

Answer 3

The sum of the terms of a sequence

Question 4

Deductive definition

Answer 4

Gives a direct formula for the kth term of the sequence in terms of k

Question 5

Inductive definition

Answer 5

Tells you how to find a term in a sequence from the previous term

Question 6

Common difference

Answer 6

The difference between any two consecutive terms

Question 7

Kth term of an arithmetic sequence

Answer 7

a + (k-1)d

Question 8

Series of an arithmetic sequence

Answer 8

1/2 n(2a+ (n-1)d)
n/2 (a+1)

Question 9

d^2/dx^2 > 0

Answer 9

Concave upwards

Question 10

d^2/dx^2 < 0

Answer 10

Concave downwards

Question 11

Stationary points of inflection

Answer 11

dy/dx = 0
d^2y/dx^2 = 0

Question 12

Non stationary points of inflection dy/dx != 0

Answer 12

d^2y/dx^2 = 0

Question 13

Cosec (theta)

Answer 13

1 / sin(theta)

Question 14

Sec (theta)

Answer 14

1 / cos(theta)

Question 15

Cot (theta)

Answer 15

1 / tan(theta)
Cos(theta) / sin (theta)

Question 16

Trapezium rule

Answer 16

h/2 (y0 + 2 ( y1 + … + yn-1 ) + yn)