SOLUTION: Write the equation of the arithmetic sequence defined by a1 = 3 and a4 = 0. (write your answer in the form an= and please do NOT use spaces) What is the common rati

Question 82553: Write the equation of the arithmetic sequence defined by a1 = 3 and a4 = 0. (write your answer in the form an= and please do NOT use spaces)

What is the common ration of the sequence?
-2, 2, -2, 2, ...

What is the explicit formula for the sequence?
3, 6, 12, 24, ...
a. an = 3*2^(n-1)
b. an = 2*3^(n-1)
c. an = 3*-2^(n-1)
d. an = 3^(n-1)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write the equation of the arithmetic sequence defined by a1 = 3 and a4 = 0.
a(4)=a(1)+d(4-1)
0 = 3 + 3d
d = -1
EQUATION:
a(n)=3 + d(n-1)
------------------------------
What is the common ratio of the sequence?
-2, 2, -2, 2, ...
common ratio = -1
----------------------
What is the explicit formula for the sequence?
3, 6, 12, 24, ...
a. an = 3*2^(n-1)
b. an = 2*3^(n-1)
c. an = 3*-2^(n-1)
d. an = 3^(n-1)
Answer: "a"
======================
Cheers,
Stan H.

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