3. Consider the sequence 3, 6, 12 ...
a. Write the next four terms of the sequence.
b. What is the generator?
C.
What kind of sequence is it? How can you tell?
d.
Write a rule for this sequence.



Answer :

Final answer:

The detailed answer explains the next terms of the sequence, identifies the generator, determines the sequence type, and provides a rule for the sequence.


Explanation:

a. Next four terms:

  1. 24
  2. 48
  3. 96
  4. 192

b. Generator: The sequence is generated by multiplying each term by 2.

c. Sequence type: This is a geometric sequence as each term is obtained by multiplying the previous term by a fixed number.

d. Rule for the sequence: The rule for this sequence is to multiply each term by 2 to get the next term.


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