This is a geometric sequence with a=2, r= -3/2.
Therefore,
a₁ = 2
a₂ = 2*(-3/2) = -3
a₃ = 2*(-3/2)² = 9/2 = 4.5
a₄ = 2(-3/2)³ = -27/4 = -6.75
a₅ = 2(-3/2)⁴ = 81/8 = 10.125
Answer:
In fractions, the first five terms are
2, -3, 9/2, -27/4, 81/8
In decimals, the first five terms are
2.000, -3.000, 4.500, -6.750, 10.125
I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).
Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system
- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.
Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.
Add this result to the first equation. The 2x terms will cancel, leaving you with the system
2y + 2z = -2
y + z = 4
This would be a good time to subst. -1 for z. We then get:
-2y - 2 = -2. Then y must be 0. y = 0.
Now subst. -1 for z and 0 for y in any of the original equations.
For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.
Then a tentative solution is (-3, -1, 0).
It's very important that you ensure that this satisfies all 3 of the originale quations.
Step-by-step explanation:
<em>2</em><em>+</em><em>1</em><em>9</em><em>=</em><em>7x</em>
<em>2</em><em>1</em><em>=</em><em>7x</em>
<em>21</em><em>÷</em><em>7</em><em>=</em><em>7x</em><em>÷</em><em>7</em>
<em>3</em><em>=</em><em>x</em>
<em>.</em><em>.</em>
Answer:
Points that lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are noncollinear points.
Step-by-step explanation:
I dont have an explanation
