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rodikova [14]
3 years ago
13

45 POINTS--A pattern of shaded and unshaded squares is shown below:

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:1) 2n - 1

              2) 99

see in the picture, u can see that the number of  shaded in figures 1 through n will form an evenly spaced sequence with:

u(1) = 1

u(2) = 3

u(3) = 5

u(4) = 7

u(5) = 9

......

=>  The above sequence has: u1 = 1

                                                 d = 2

=> u(n) = 1 + 2(n - 1) = 2n - 1

=> the number of shaded squares in the n figure is 2n - 1

b) the number of shaded squares in the 50th figure is 2.50 - 1 = 99

Step-by-step explanation:

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lord [1]

Answer:

D.

Explanation:

PEMDAS method. First do the parentheses. Multiply first, then subtract 12 from that number. Once finished with the parentheses, multiply by 8.

7 0
3 years ago
What are the first five terms in the<br> recursive sequence defined by the<br> following?
kolezko [41]

The first five terms of the sequence are {0, -1.4, -2.8, -4.2, -5.6}

<h3>Recursive function</h3>

Given the nth term of a recursive expression shown below

an =an-1 - 1.4

where

an-1 is the preceding term

a1 is the first term

an is the nth term

an-1 is

Given the following

a1 = 0

For the second term a2

a2 = 0 - 1.4

a2 = -1.4

For the third term a3

a3 = -1.4 - 1.4

a3 = -2.8

For the fourth term a4

a4 = -2.8 - 1.4

a4 = -4.2

For the fifth term a2

a5 = -4.2 - 1.4

a5 = -5.6

Hence the first five terms of the sequence are {0, -1.4, -2.8, -4.2, -5.6}

Learn more on recursive function here: brainly.com/question/489759

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5 0
2 years ago
Select the equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1).
sasho [114]
Y = -2x - 7 
slope = -2 (parallel shares the same slope, -2)

Option A:
y = -2x + 7
slope = -2

At (3, 1)
y = -2(3) + 7 = 1

Answer: Option A
7 0
3 years ago
Help please
9966 [12]

Answer:

No

Step-by-step explanation:

Triangular Inequalities state that in a triangle, the sides must always be less than the sum of the other two.

You would have sides x, 2x, 3x in this case and use the inequality a+b>c.

if...

a=x, b=2x, c=3x

then...

x+2x>3x

3x>3x which is false.

Therefore you cannot make a triangle with sides proportional to 1, 2, and 3.

6 0
3 years ago
Two boards are resting against each other to form an isosceles triangle with the ground as shown in the diagram. What is the hei
stiv31 [10]

Answer:

ygyvyvububububububububububububububububububububububububububububububububububububinininininininininubububyvyctctcrxrxrcrct vvtvybububunininininuninububububububbuub

Step-by-step explanation:

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5 0
3 years ago
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