Chapter 4

Question 1

(X^a) ^b

Answer 1

X^ab

Question 2

X^0

Answer 2

1

Question 3

1/x^b

Answer 3

X^-b

Question 4

LogX + logY

Answer 4

LogXY

Question 5

LogX- LogY

Answer 5

Log x/y

Question 6

LogX^n

Answer 6

Nlogx

Question 7

Log1

Answer 7

0

Question 8

Log1/y

Answer 8

-logY

Question 9

Completing the square (x+p)^2

Answer 9

X^2 +2px+p^2

Question 10

Quadratic formula

Answer 10

X= -b +- square root b^2 -4ac / 2a

Question 11

Arithmetic series nth term

Answer 11

A + (n-1)d

Question 12

Arithmetic sum formula

Answer 12

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

Question 13

Geometric nth term

Answer 13

Ar^n-1

Question 14

Geometric sum formula

Answer 14

A(1-r^n)/ 1-r

Question 15

Geometric sum to infinity

Answer 15

A/ 1-r

Question 16

Sums k=1 to N K formula

Answer 16

1/2n (n+1)

Question 17

Sums k=1 to N K^2 formula

Answer 17

1/6n (n+1) (2n+1)

Question 18

Expansion of negative powers

(1+x)^n

Answer 18

1 + nx + n(n-1)x^2 / 2! + n(n-1)(n-2)x^3/3!

Question 19

A(x+b)^2

Answer 19

Ax^2 +2abx + ab^2 + c

Question 20

Sum to infinity conditions

Answer 20

-1< r < 1

Otherwise sum to infinity doesn’t exist