Number and Algebra (topic 1)

Question 1

Using your calculator for compound interest

Answer 1

N = number of payments
I% = interest rate
PV = present value
Pmt = payments (usually 0)
FV = future value
PpY = payments per year
CpY = compounding periods per year

**if trying to solve for N or I%, PV or FV must be negative
**make PpY and CpY the same value

Question 2

Exponent rules

Answer 2

(a^b)(a^c) = a^(b+c)

(a^b) / (a^c) = a^(b - c)

(a^b)^c = a^(b*c)

a^-b = 1 / a^b

n√a = a^(1/n)

Question 3

Natural logarthms

Answer 3

ln undoes e and vice versa

Question 4

Natural logarithm rules

Answer 4

Same as logs (ln = loge)

ln(AB) = lnA + lnB
ln(A / B) = lnA - lnB
lnA^x = X ln A

Question 5

Tricks for proofs

Answer 5

• any integer = n
• even number = 2n
• odd number = 2n + 1
• consecutive even numbers = 2n, 2n + 2, …
• consecutive odd numbers = 2n + 1, 2n + 3, …