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vredina [299]
2 years ago
6

Find the number of terms in the geometric progression 7,21,63,..., 45927.

Mathematics
2 answers:
Doss [256]2 years ago
6 0
The rule is times 3

7 x 3 = 21
21 x 3 = 63

and so on until 45927
Degger [83]2 years ago
4 0
What lists are the easiest to count? If you were given a list like 1, 2, 3, 4, ... , 20, it would be pretty easy to determine that there were 20 terms in the sequence. We can transform most sequences to that form to make our job of counting terms a lot easier.

First, we notice that the terms all seem to be multiples of 7. We can start to simplify our list by <em>dividing</em> each term by 7:

7,21,63,\dots,45927\rightarrow1,3,9,\dots,6561

Looking at our new list, you might notice that our numbers all seem to be <em>powers of 3</em>. 1=3^0,3=3^1,9=3^2, and you can verify that 6561=3^8

We can now transform our list again, replacing each term with its corresponding power:

1,3,9,\dots,6561\rightarrow0,1,2,\dots,8

Now, we simply add 1 to each term and:

0,1,2,\dots,8\rightarrow1,2,3,\dots,9

Voila! There are 9 terms in the sequence.
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Solve for y <br> 2y= -3x + 4
Margaret [11]

Answer:

y = -1/3x + 2

Step-by-step explanation:

Divide everything by 2

5 0
2 years ago
The solutions to the inequality y&lt;-x+1 are shaded on the graph. Which point is a solution?
suter [353]
Answer: 
B) (3, –2)

Explanation: 
The inequality is y ≤ –x + 1
There are two ways to do this. You can try the four options by seeing where they lie on the graph, or by inputting them into the inequality and seeing if they check out. I am going to do a bit of both.

I know that the solution cannot have two positive coordinates because the first quadrant is not part of the solution, so I won't guess A or C. 
I'll try (3, –2) (which is option B).
On the graph, (3, –2) is on the line, which means it is part of the solution because the line is solid and the inequality is a greater than or equal to sign. 
Try it in the inequality: 
y ≤ –x + 1 
–2 ≤ –3 + 1 
–2 ≤ –2 yes this checks out.
9 0
3 years ago
-2x = 16–8y<br> x+4y= 25<br> Solve by substitution
ra1l [238]

Answer:

(\frac{17}{2}, \frac{33}{8}

Step-by-step explanation:

Given the 2 equations

- 2x = 16 - 8y → (1)

x + 4y = 25 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = 25 - 4y → (3)

Substitute x = 25 - 4y into (1)

- 2 (25 - 4y) = 16 - 8y ← distribute left side

- 50 + 8y = 16 - 8y ( add 8y to both sides )

- 50 + 16y = 16 ( add 50 to both sides )

16y = 66 ( divide both sides by 16 )

y = \frac{66}{16} = \frac{33}{8}

Substitute this value into (3) for corresponding value of x

x = 25 - 4 × \frac{33}{8} )

  = \frac{50}{2} - \frac{33}{2} = \frac{17}{2}

Solution is ( \frac{17}{2}, \frac{33}{8} )

5 0
3 years ago
What is 7/10 + 7/10 =
Nonamiya [84]

The correct answer is 1.4 or 1 4/10

I did this by turning 7/10 into a decimal which is 0.7.

Now I just add 0.7 + 0.7.

For that equation i got 1.4

This would equal 1 4/10

3 0
3 years ago
Read 2 more answers
There is a bag filled with 3 blue and 5 red marbles.
SIZIF [17.4K]

3+5=8

Answer:

2/8

Step-by-step explanation:

probability = total number of items ÷2

=8÷2

=2/£

5 0
2 years ago
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