The explicit formula would be

.
This is a geometric sequence, since we are multiplying each term by a constant to find the next term.
The explicit formula for a geometric sequence is given by

,
where g₁ is the first term and r is the common ratio, or the number that is multiplied to get the next term.
Our first term is 5, and the common ratio is 3.
Answer:
x = -42 is your answer
Step-by-step explanation:
x/6 = -7
Isolate the x. Note the equal sign, what you do to one side, you do to the other.
Multiply 6 to both sides
(x/6)(6) = (-7)(6)
x = (-7)(6)
Simplify. Multiply 6 with -7
x = (-7)(6)
x = -42
<em>~So shines a good deed in a weary world</em>
Answer:
x = 13
y = 9
Step-by-step explanation:
Answer:
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
-----
4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0
-----
Factor:
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
-----
[2cos(x)-1][2sin(x)+sqrt(3)] = 0
Solve:
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
hope this helps!