Question

Medal? can someone help please c:

Answer 1

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 in the sequence?

5. Complete each statement
a. A(1) = 2 = 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

Answer 2

ratio means put one number over another.
Here they want the ratio of the next number of the current number.
in other words, for 2 6 they want 6 over 2
or 18 over 6
or 54 over 18
notice they all simplify to the same number (the "common ratio")

for 5, put in the exponent (power) on 3 to make the statement true
I'll do 5 b. A(2)= 2*3^1
notice that 3 to the power of 1 is 3,

Answer 3

Im sorry i understand the first part but i dont understand how to figure out the last one >_<

Answer 4

How did you get the answer?

Answer 5

do you know about exponents?
a*a = a^2
a*a*a= a^3

(it is a short-hand, because it gets tedious to write out a^10 )
count the number of 3's and that is the exponent.

there is one non-obvious answer though: a^0 (anything to the 0 power) is 1
that is not obvious, but that is the rule.

Answer 6

Ohhhhhhhhh Ok thank you! do you mind helping me with 2 more questions?

Answer 7

what did you get for your answers ?

Answer 8

A(1) = 2 = 2*3 b. = 2*3^1
A(3) = 18 = 2*3*3 = 2*3 = 2*3*3^2
A(4) = 54 = 2*3*3*3 = 2*3 = 2*3*3*3^3 ?

Answer 9

almost, you write 3^2 instead of 3*3 so , for example,
A(3)= 2*3*3 you change 3*3 to 3^2 and get 2*3^2
(you don't write both 3*3 and 3^2)

for a.) A(1)=2 you can't multiply by 3 or 3*3 or 3*3*3, but you can multiply by 1
and 3^0 is 1, so you can say A(1)= 2*3^0

can you fix A(4) ?

Answer 10

oh okay i think i get it now
2*3^3

Answer 11

yes

Answer 12

ty! i get it now(: do you mind helping me with these 2?

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 13

6. What is the relationship between the exponent of the base 3 and the value of n?

they want you to see a pattern
a. A(1) = 2* 3^0
b. A(2) = 2* 3^1
c. A(3) = 2* 3^2
d. A(4) = 2* 3^3

as you go from A(1) to A(2) up to A(4), how does the answer change?
do you notice that the exponent seems related to
"n= the term number in the sequence " ?

In other words, without working you should be able to write down A(5) 's answer just by following the pattern.

for
7. Complete the statement: A(n) = 2*3

they want you to fill in the exponent of the 3. It won't be n, but it will be one less than n.