Answer:
Option A. 
Step-by-step explanation:
The given sequence in the question is 6,-24,96,-384.......n
and we have to give the recursive formula for this arithmetic sequence.
We can re write the sequence to make it more simpler
6,6(-4),(-24)(-4),(96)(-4).......n terms
Now we can say 
and
Therefore the recursive formula of the sequence is
3/4 divided by 1/5 = 3 3/4
Hope that helps :)
A = hb/2
A = (15)(11) / 2
A = 165/2
A = 82.5 <===
The value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
<h3>Vertex Form of a quadratic expression</h3>
Given the quadratic expressions
1.5x^2+6x+......
1.5(x^2 + 4x)
Using the completing the square method
The coefficient of x = 4
Half of the coefficient = 4/2 = 2
The square of the result = 2^2 = 4
The equation is expressed as:
f(x) = 1.5(x^2+4x+ 4) - 4
f(x) = 1.5(x+2)^2 - 4
Hence the value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
Learn more on completing the square method here: brainly.com/question/1596209
