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Sveta_85 [38]
4 years ago
15

Find a recursive formula for the sequence: 3, -5, 11, -21

Mathematics
1 answer:
vekshin14 years ago
3 0

The correct option is the last:

a_n = -2a_{n-1}+1

In fact, every term in the sequence is one more than twice the opposite of the previous one:

We start with 3. Twice its opposite is -6. Plus one, we get -5.

We start with -5. Twice its opposite is 10. Plus one, we get 11.

We start with 11. Twice its opposite is -22. Plus one, we get -21.

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A Hexagonal pyramid is located on top of a hexagonal prism. How many vertices are there?
Scrat [10]

For a better understanding of the answer given here, please go through the diagram in the attached file.

The diagram assumes that the base of the hexagonal pyramid is an exact fit (has same dimensions as the face of the hexagonal prism).

As can be seen from the diagram, the common vertices are A,B,C,D,E,F which are 6 in number.

The bottom vertices are G,H,I,J,K,L, which, again are 6 in number.

The Apex of the pyramid, P is one more vertex.

Thus, the total number of vertices in a Hexagonal pyramid is located on top of a hexagonal prism will be the sum of all these vertices and thus will be:

6+6+1=13

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3 years ago
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3 years ago
Read 2 more answers
6y(-5-y+4y^2) <br> Simplify the expression^^
Nina [5.8K]

Answer:

24y^3-6y^2-30

Step-by-step explanation:

6y(-5-y+4y^2)

-30y-6y^2+24y^3

Put in the correct order

24y^3-6y^2-30

3 0
3 years ago
Which transformation is a direct isometry?
Scilla [17]
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3 years ago
What percent of the time was spent on reading? The percentages are English 11% Science28% math22% social studies15% spelling 12%
sergeinik [125]

Answer:

The percent of time that was spent on reading is 12%

Step-by-step explanation:

To figure this question out, first add up all of the known percentages. So for this question, this would be: 11 + 28 + 22+ 15 + 12, or 88. The total of all the percentages must be equal to 100%. So, subtract the sum of all the known percentages from 100.

100 - 88 = 12%

Hope this helps! ^-^

6 0
3 years ago
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