Question

What are the next three terms in the pattern 2, 6, 18, 54, ...?

Answer 1

do you know the pattern?

Answer 2

no

Answer 3

it could be addition, subtraction, multiplication, or division by the same number
so what +,-,•, or / by 2 gives you 6?

Answer 4

i got it

Answer 5

what did u get?

Answer 6

162

Answer 7

correct :)
the other terms?

Answer 8

they all multiply by 3

Answer 9

yup

Answer 10

now you can get the next 3 terms \(\ddot\smile\)

Answer 11

\[2*3=6,6*3=18,18*3=54,.......... \]

Answer 12

You have found one possible set of "next three terms" in the pattern. A sequence can have multiple rules. The rule you found was "the next number is the previous number multiplied by 3". Another rule could be "the first six numbers are the previous number multiplied by 3, while the remaining numbers are all 10000".

Your answer is correct. But keep in mind, a sequence can have multiple rules.

Answer 13

\[2\left( 3^0,3^1,3^2,3^3,3^4,3^5,3^6,... \right)\]