SOLUTION: 3) A student claims that two terms are enough to determine any sequence. For example 3,6, … means the sequence would be 3, 6, 9, 27, 12, 15, … How do you respond?

Algebra ->  Test -> SOLUTION: 3) A student claims that two terms are enough to determine any sequence. For example 3,6, … means the sequence would be 3, 6, 9, 27, 12, 15, … How do you respond?      Log On


   

Question 176317: 3) A student claims that two terms are enough to determine any sequence. For example 3,6, … means the sequence would be 3, 6, 9, 27, 12, 15, … How do you respond?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The sequence could possibly be 3, 6, 9, 27, 12, 15, ... Notice how we add 3 to each term.


However, the sequence could also be 3, 6, 12, 24, 48, 96... Here we're multiplying each term by 2.


Or, you could multiply the each term by 3 and subtract 3. So 3*3-3=9-3=6


There are countless (possibly infinite) other ways to generate 3,6 ...


So there isn't enough information to determine the sequence given 3,6 ...