Ageometric sequence has a first term of 4 and a second term of 12.
what is the common ratio ?

3

Step-by-step explanation:

Solution,Here,

In geometric sequence,

first term=4

second term=12

common ratio=?

We know that,

common ratio (r) = second term ÷ first term

=12÷4

=3

Hence, the required common ratio is 3.

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

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