Question

What is the next term in the pattern?
2, 6, 18, 54, 162,
HALP!!

Answer 1

Do I multiply by 3 or??

Answer 2

Evaluate the following: 3*2, 3*6, 3*18, 3*54. What next?

Answer 3

3*162 3*486??

Answer 4

Good. What is your conclusion?

Answer 5

Multiply by 3

Answer 6

Need a bit more info than that. Given the nth term of a sequence, how does one find the (n+1)st term?

\[a _{n+1}=3(a _{n})\]

Answer 7

This says: "Given the term a sub n of a certain arithmetic sequence, find the next term by multiplying a_sub_n by 3."

Answer 8

yes, the next term is 3*162 = 486

when I do these problems I look for a "constant multiple" (by dividing the second number by the number in front of it: example 6/2 =3 then try 18/6 = 3
if that does not work, I look for a constant difference (which is not the case here)