Math 10P - Sequences and Data Tables - Under Construction

Arithmetic Sequence

General Term: t_n = a + (n - 1)d  

Sum: S_n = n/2 [ 2a + (n - 1)d

Geometric Sequence

General Term: t_n = ar^n-1

Sum: S_n = n/2 (a + t_n)

Rates

     GST rate = GST/price
     Tip rate = Tip/price   or   Tip rate = Tip/(GST + price)

Simple and Compound Inerest

Many resources show simple interest as i = Prt and compound interest as A = P(1 + i)ⁿ

BUT it may be easier to compare if we look at formulas for calculating amount for both interest types:

A = Amount, P = Principle, r = interest rate (%), n = number of interest periods, t = time

Simple Interest: A = P + Prt          or          Compound Interest: A = P(1 + r/n)^nt