Answer:
18
Step-by-step explanation:
<em>First, use the equation for geometric mean; an=a1r^n-1</em>
*where is an is the number at an n term, r is the ratio and a1 is the first number of the sequence.*
12 = a1 r^5
27 = a1r^7
From the equations above,
a1 = 128/81
r = 3/2
Therefore, the 7th term is:
an = (128/81) (3/2)^6
an = 18
hope this helps :)
3x+y=23
6x-y=50
2(3x+y)=2(23)
6x+2y=46
(6x-y)-(6x+2y)=50-46
-3y=4
y=-4÷3
=-4/3
x=[23-(-4/3)]÷3
=24/1/3÷3
=73/3÷3
=73/9
x = -15
see explanation
y(x + 1) = 51 ← substitute y = 3 into the equation
3(x + 1) = 51 ( divide both sides by 3 )
x + 1 = 17 ( subtract 1 from both sides )
x = 16
