Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1? 9.6, –4.8, 2.4, –1.2, 0.6, ..

We have got an geometric progression.

We use to find any term of a geometric sequence, this equation:

an=a₁ * r^(n-1)

a₁= is the first term.

r=is the common ratio.

n=numbers of the term to find.

r=an / an-1

In this case:

r=a₂/a₁=(-4.8) / 9.6=-0.5

a₁=9.6

an=9.6*(-0.5)^(n-1)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions