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?

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) (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 ...

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