Next-Now and sequences Algebra

Multiplying is faster way of adding

**

When do you use arithmetic and geometric equations

**Only use arithmetic and geometric equations for EXPLICIT problems ***

arithmetic equation

-look at image -use for adding and subtracting pattern

geometric equation

-look at image -use for multiplying and dividing pattern

Recrusive Sequence

Ordered List of Numbers Defined by a starting value and a rule.

f(n) = -3n + 17 example

Write the function rule for the sequence 14, 11, 8, 5, 2 ...

f(n) = 2n + 5 example

Write the function rule for the sequence 7, 9, 11, 13, 15, 17 ...

Exponential is faster than multiplication

^ than *

explicit formula

expresses the nth term of a sequence in terms of n

a sub n = a1r^(n-1)

the explicit nth term formula of a geometric sequence

a sub n = a1 + (n-1)d

the explicit nth term formula of an arithmetic sequence