Answer:
-10, 40, -240, 1,920 and -19, 200
Step-by-step explanation:
Given the recurrence relation of the sequence defined as aₙ₊₁ = -2naₙ for n = 1, 2, 3... where a₁ = 5, to get the first five terms of the sequence, we will find the values for when n = 1 to n =5.
when n= 1;
aₙ₊₁ = -2naₙ
a₁₊₁ = -2(1)a₁
a₂ = -2(1)(5)
a₂ = -10
when n = 2;
a₂₊₁ = -2(2)a₂
a₃ = -2(2)(-10)
a₃ = 40
when n = 3;
a₃₊₁ = -2(3)a₃
a₄ = -2(3)(40)
a₄ = -240
when n= 4;
a₄₊₁ = -2(4)a₄
a₅ = -2(4)(-240)
a₅ = 1,920
when n = 5;
a₅₊₁ = -2(5)a₅
a₆ = -2(5)(1920)
a₆ = -19,200
Hence, the first five terms of the sequence is -10, 40, -240, 1,920 and -19, 200
Answer:
The answer is y=7.5x and y=5.5x+10
By using the <em>area</em> formulae for triangles and rectangles and the concept of <em>surface</em> area of the <em>composite</em> figure is equal to 1108 square inches.
<h3>What is the surface area of the composite figure?</h3>
The <em>surface</em> area is the area of all faces of a solid. In this case, we must sum the areas of seven <em>rectangular</em> and two <em>triangular</em> faces to determine the <em>surface</em> area:
A = 2 · (0.5) · (12 in) · (9 in) + 2 · (11 in) · (20 in) + 2 · (5 in) · (20 in) + 2 · (5 in) · (12 in) + (12 in) · (20 in)
A = 1108 in²
By using the <em>area</em> formulae for triangles and rectangles and the concept of <em>surface</em> area of the <em>composite</em> figure is equal to 1108 square inches.
To learn more on surface areas: brainly.com/question/2835293
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