Answer:
The first term of the sequence is:
Step-by-step explanation:
Given the sequence
aₙ = (-1)ⁿ · 3n²
substituting n = 1 to determine the first term
a₁ = (-1)¹ · 3(1)²
a₁ = (-1)¹ · 3(1)²
Applying the exponent rule: 
a₁ = -1 · 3(1)
a₁ = -1 · 3
a₁ = -3
substituting n = 2 to determine the 2nd term
a₂ = (-1)² · 3(2)²
a₂ = 1 · 3(4)
a₂ = 12
substituting n = 3 to determine the 3rd term
a₃ = (-1)³ · 3(3)²
a₃ = -1 · 3(9)
a₃ = -1 · 27
a₃ = -27
substituting n = 4 to determine the 4th term
a₄ = (-1)⁴ · 3(4)²
a₄ = 1 · 3(16)
a₄ = 1 · 48
a₄ = 48
Therefore, the first term of the sequence is:
Hi there!
In order to solve, we'll need to use the trigonometry function tangent, which is opposite/adjacent.
The side opposite the angle is h, our height.
The side adjacent the angle is 41.
The equation is:
tan(58) = h/41
After multiplying both sides by the tangent of 58, you get that the height is 66m.
T= 40+H i believe.. this is a bit harder then i thought
Alright, lets get started.
I hope, the dimensions of rectange are asked in this question.
Suppose the width of rectangle = x in
Given that length of the rectangle is 3 in longer than the width.
It means length of the rectangle = (x+3) in
Now, the area of the rectangle = lenght * width
area of the rectangle = 
area of the rectangle =
The area of a rectangle is 70 in square (given in question)
Equalling both areas
Subtracting 70 in both sides
Factoring
It will give two values of x
x = -10 (which is not possible because length could not be negative)
x = 7
Means width 
length 
Means the dimensions of rectangle are 7 in and 10 in. : Answer
Hope it will help :)
4 x (8 - b)b
4 x (8 - 2)2
4 x 6 x 2
4 x 6 = 24 x 2 = 48
Answer: 48
