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vfiekz [6]
3 years ago
12

If anyone can help me to write recursive and explicit definition for this sequence I'm giving extra points!!

Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Step-by-step explanation:

Each term is 2 more than the previous term, and the first term is 12, so the recursive formula is:

a_{n}=a_{n-1}+2, a_{1}=12

This is an arithmetic sequence, so the explicit formula is:

a_{n}=12+2(n-1)\\a_{n}=10+2n

The next three terms are 20, 22, 24.

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snow_tiger [21]

Answer:

Step-by-step explanation:

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7 0
3 years ago
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

f(x) = -x^2 - 4x + 5

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

f(x) = -x^2 - 4x + 5

So the vertex is at:

x = 4/(2*-1) = -2\\

Then the y-value of the vertex is:

f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9

So the range is the set of all real numbers less than or equal to 9.

So the above statement is false, and the final one:

"The range of the function is all real numbers less than or equal to 9."

Is the true statement.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

8 0
2 years ago
Which type of factoring is used to factor the following expression:<br> 2x^2 + 7x- 30
svetlana [45]

Answer:

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7 0
3 years ago
Original amount = 80 dollars. 20 percent off is 64 dollars. 20 percent off is question mark.
lord [1]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Name two consecutive odd integers that have a sum of 20??
xxTIMURxx [149]
11 + 9
this is annoying that answers have to be 20 characters....
4 0
3 years ago
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