Try It! 1.2.3
Identify each sequence as arithmetic, geometric, or neither arithmetic nor geometric. If the
sequence is arithmetic, give a common difference. If it is geometric, give the common ratio.
For each sequence, what are the next two terms?
Show all of the steps you use to determine the answer
1.
2, 6, 18, 54, 162, . . .
The process I took in order to identify the answer was by finding the pattern that might fit with
the corresponding numbers. I started with adding different numbers but it wouldn’t fit with the
incoming numbers. But then, using various techniques, I came up with multiplying the previous
number by three, resulting in an incoming number being correct. For the next two terms, I
reached the number 486 and 1458 and for the process, I multiply the answer by 3. The sequence I
encounter with this number was a geometric sequence knowing we are getting involved with
multiplying by the same number
(Ratio: 3) to generate the next number.