Question

I have done everything for this but #7. Please tell me what to do and please don't give me the answer thanks


Consider the sequence 2,6,18,54...
Let n = the term number in the sequence.
Let A(n) = the value of the nth term of the sequence.
4. What is the common ratio of the sequence?
5. Complete each statement.
a. A(1) = 2 = 2 * 3 = 2 * 3^?
b. A(2) = 6 = 2 * 3 = 2 * 3^?
c. A(3) = 18 = 2 * 3 * 3 = 2 * 3^?
d. A(4) = 54 = 2 * 3 * 3 * 3 = 2 * 3^?

6. What is the relationship between the exponent of the base 3 and the value of n?
7. Complete the statement: A(n) = 2 * 3^?

Answer 1

@connexus.com
We need to complete this
\[A(n)=2\times 3^{\large \text{^}}\]
Ok, let's revisit the sequence
2, 6, 18, 54
Can you write the factors of each?

Answer 2

I have done everything but #7 I don't under stand what it is asking for

Answer 3

it's asking to complete the formula, Can you factor these?
2, 6, 18, 54...

Answer 4

Yah its being multiplied by 3 each time but in other question it asked to do that so are you sure that's what its asking this is worth a big part of my grade so I need to get it all right

Answer 5

yes, it's similar to 6. We just need to write the formula

Answer 6

that will generate the terms as n is changed

Answer 7

Its being multiplied by 3 each time so it would be 162,486,1458, & so on & so on

Answer 8

that's right but we need to modify the formula
suppose I had this
2, 4, 8, 16
I can write easily
that
\[A(n)=2\times 2^{n}\]
where n=0, 1, 2, 3 and so on
here also we need to similar

Answer 9

Ok so for #7 I would write that
A(n) = 2 * 3^n
Were n = 0,1,2,3 and so on
Is that what I need to put?
If not I have no idea what to do lol

Answer 10

yes, just A(n)

Answer 11

Ok thanks

Answer 12

yeah :)