Answer:
- an = 3(-2)^(n-1)
- 3, -6, 12, -24, 48
Step-by-step explanation:
These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.
a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.
a1 = 3 (given)
a2 = a1×r = 3×(-2) = -6
a3 = a2×r = (-6)(-2) = 12
a4 = a3×r = (12)(-2) = -24
a5 = a4×r = (-24)(-2) = 48
The first 5 terms are 3, -6, 12, -24, 48.
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The explicit formula for the terms of a geometric sequence is ...
an = a1×r^(n -1)
Using the given values of a1 and r, the explicit formula for this sequence is ...
an = 3(-2)^(n -1)
Answer:
8 units
Step-by-step explanation:
<u>Area of a rectangle</u> = <em>Width</em> multiplied by Length
Substitute in all the known numbers into this formula to get
<u>72</u> = <em>(9)</em> × 
Solve the equation for x, to find out the length
Length of the rectangle =
Answer:
B) -1-6 x +15 = x - 15 +15
Step-by-step explanation:
<u>Explanation</u>:-
Given equation is –1 – 6 x = x – 15
<em>By addition property of equality </em>
<em> ⇒ - 1 - 6 x + 15 = x - 15 +15</em>
⇒ - 6 x + 14 = x
subtracting 'x' on both sides ,we get
⇒ - 6 x -x +14 =0
⇒ - 7 x +14 =0
⇒ -7 x = - 14
Dividing '-7' on both sides , we get
x = 2
<em>The solution of given equation is x = 2</em>
Answer:
(4,0)
Step-by-step explanation:
The object is first at (0,0)
It is reflected across line x=-2, this means you draw the mirror line at x=-2 and count 2 equal units backwards to get the image.The image will be at ;
The image (-4,0) is then reflected on the y-axis
You know reflection on the y-axis, the y-coordinate remains the same but the x-coordinate is changed to its opposite sign.
Hence;
(- -4,0)= (4,0)
The image will move 8 units towards positive x-axis.This is the same as moving 4 units from the mirror line at (0,0) and land at (4,0)
Answer:
looks hard
Step-by-step explanation:
