Question

Instructions: Identify the type of sequence and write the explicit rule.

Answer 1

Case: Sequences

Method:

3, 12, 48, 192,...

Step1:

The sequence is increasing exponentially

Type: Geometric/Exponential Sequence

Step 2:

The Explicit rule is gotten from the formula:

`a_n=ar^(n-1)`

a= 3,

r= (12/3)

r= 4.

The rule, therefore:

`a_n=3(4)^(n-1)`

Final answer:

Type: Geometric sequence

Explicit rule

`a_n=3(4)^(n-1)`