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KATRIN_1 [288]
3 years ago
11

Which sequence matches the recursive formula? an=2an-1+5, where a1=5. A) 5,10,15,20 B) 5,15,35,75. C)5,15,25,35. D) 5,20,35,40

Mathematics
1 answer:
Dominik [7]3 years ago
6 0

The recursive formula

a_n = 2a_{n-1}+5

means that, to compute the next value, you have to double the previous one and then add 5.

So, we start with 5. To get the second term, we double it and add five, so we have

a_2 = 2\cdot 5+5 = 10+5 = 15

Next, we will double 15 and add 5:

a_3 = 2\cdot 15 + 5 = 30+5 = 35

So, the answer is B, because it's the only option starting with 5,15,35.

Just to check, let's compute the last step:

a_4 = 2\cdot 35 + 5 = 70+5 = 75

Which confirms option B

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Please please help me
DanielleElmas [232]

Answer:

y = 105°

Step-by-step explanation:

In an isosceles trapezoid

• Any lower base angle is supplementary to any upper base angle

• The lower base angles are congruent

75 and x are supplementary, thus

x = 180° - 75° = 105°

x and y are lower base angles and congruent, so

y = x = 105°

8 0
3 years ago
Canada has a population that is about 1/10 as large as United States. If Canada population is about 32 million, about how many p
Sladkaya [172]
Do 32,000,000 divided by 10 to get your answer.
3 0
4 years ago
Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate pl
Lera25 [3.4K]
The lines are 

i)  y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i)  y=-3+6=3
ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY


Answer: The graph where the lines intersect at (3, 3)
3 0
4 years ago
The larger of two numbers is five more than the smaller. Twice the larger is twenty less than four times the smaller. Find the n
lesantik [10]

Answer: Small number = 15.

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

The larger of two numbers is five more than the smaller. Thus, the larger number is x+5.

Twice the larger is twenty less than four times the smaller. This can.be written as:

2(x + 5) = 4x - 20

2x + 10 = 4x - 20

2x - 4x = -20 - 10

-2x = -30

x = 30/2

x = 15

The smaller number is 15

Larger number = x + 5 = 15 + 5 = 20

6 0
3 years ago
7x - 8(-2 + 9)=112 what is x?
Kobotan [32]
7x - 8(-2 + 9) = 112
7x - 8(7) = 112
7x - 56 = 112
7x = 112 + 56
7x = 168
x 168/7
x = 24 <==
6 0
4 years ago
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