Explicit and Recursive Formulas

The "a" value in f(x)=a(b)^x for geometric sequences represents what?

• first term
• term we're looking for, minus one
• common difference
• common ratio

The "b" value in f(x)=a(b)^x for geometric sequences represents what?

• first term
• term we're looking for, minus one
• common difference
• common ratio

An arithmetic sequence is a sequence with a common _________.

• difference
• ratio
• absolute value
• domain

A geometric sequence is a sequence with a common _________.

• difference

• ratio

• formula

• absolute value

What formula would you use to find a term for

6, 24, 42, 60, ...?

• f(x) = a(b)^x

• f(x) = mx + b

What formula would you use to find a term for

6, 18, 54, 162, ...?

• f(x) = a(b)^x

• f(x) = mx + b

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

• a₁ = 15
  a_n = a_n-1 + 3

• a₀ = 15
  a_n = a_n-1 + 3

• a₁ = 15
  a_n = a_n-1 - 3 

• a₀ = 15
  a_n = a_n-1 - 3

Given the recursive formula below, find the explicit formula.  
a₀ = 1
a_n = a_n-1 + 5

• a_n = 6 + 5n
• a_n = 1 + 5n
• a_n = 6- 5n

• a_n = 5+n

Given the sequence below, write the explicit formula.
3, 8, 13, 18 ... 

• a_n = 3 + 5n

• a_n = -2 + 5n

• a_n = -8 + 5n

• a_n = n+ 5

How does a linear equation relate to the explicit formula?  

• the slope is the common difference
• the y-intercept is the common difference
• the two are not related
• the slope is u₁