Helpp!
Consider the sequence 2,6,18,54...
Let n = the term in the sequence
let a (n)= the vaule of the nth term of the sequence( see table below)
what is the common ratio of the sequence? i think the common ratio is .. times 3

drawling graph

Question

Helpp! 
Consider the sequence 2,6,18,54... 
Let n = the term in the sequence 
let a (n)= the vaule of the nth term of the sequence( see table below) 
what is the common ratio of the sequence? i think the common ratio is .. times 3 

drawling graph

jim_thompson5910 · Answer

you said the common ratio was 3 correct?

jim_thompson5910 · Answer

if you said that, then you are right because

6/2 = 3
18/6 = 3
54/18 = 3

anonymous · Answer

yeah  the common ratio is 3 but i have a graph that needs filled out and im lost i will post it

jim_thompson5910 · Answer

ok

anonymous · Answer

|dw:1360720210942:dw|

anonymous · Answer

What is the realtionship between the exponet ( that was filled in in the graph) and te vaule of n?

anonymous · Answer

1 more. Complete the stament A(n) = 2x3  
this is a fuction to describe the sequence

jim_thompson5910 · Answer

notice how when n = 1, A(n) = 2

so if you're multiplying by 3 each time, then the exponent would have to be 0 for the product to be 1

this is because you have

(first term)*(common ratio)^exponent

jim_thompson5910 · Answer

the first term is 1

the common ratio is 3

so the exponent must be 0 for the product to be 1

jim_thompson5910 · Answer

oh sry, the first term is 2, not 1

jim_thompson5910 · Answer

so when n = 1, the exponent is 0

This means that the relationship is

exponent = n-1

which explains why the formula is

a(n) = a*(r)^(n-1)

anonymous · Answer

im confused :(
so all exponest of the graph is 0?

anonymous · Answer

What is the realtionship between the exponet ( that was filled in in the graph) and te vaule of n? what is this?

jim_thompson5910 · Answer

no, that's just for the first term

the first term has an exponent of 0

anonymous · Answer

okay so how do i know the rest?

jim_thompson5910 · Answer

for each term after that, the exponent is one less than the term n

ex: in the second term, n = 2 but the exponent is 1

in the third term, n = 3 but the exponent is 2

etc etc

jim_thompson5910 · Answer

so in general, if the term is say k , then the exponent is k-1

replace the k with n

so if you're at the nth term, the exponent is n-1

anonymous · Answer

What is the realtionship between the exponet ( that was filled in in the graph) and te vaule of n?

Complete the stament A(n) = 2x3  
this is a fuction to describe the sequence
and how do i figure out these?

jim_thompson5910 · Answer

so it would be

A(n) = 2 x 3^(n-1)

anonymous · Answer

for the first one?

jim_thompson5910 · Answer

What is the realtionship between the exponet ( that was filled in in the graph) and te vaule of n?

the term is n, then the exponent is n-1

anonymous · Answer

okay and then A(n) = 2 x 3^(n-1) this would be the coplete statment?

jim_thompson5910 · Answer

yes exactly

anonymous · Answer

thank you sooo much

jim_thompson5910 · Answer

np