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ale4655 [162]
3 years ago
6

What answer is it? Is it A. B. C. or D.

Mathematics
1 answer:
Sauron [17]3 years ago
8 0
C.


Hope this Helps!:)
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The first five terms of a quadratic sequence are 3, 12, 25, 42, 63.
skad [1K]

Since we know the sequence is quadratic, we expect the n-th term to have the general form

x_n = an^2 + bn + c

Plug in the first 3 known values of the sequence to form a system of equations.

x_1 = 3 = a + b + c

x_2 = 12 = 4a + 2b + c

x_3 = 25 = 9a + 3b + c

Eliminating c gives

(4a + 2b + c) - (a + b + c) = 12 - 3 \implies 3a + b = 9

(9a + 3b + c) - (a + b + c) = 25 - 3 \implies 8a + 2b = 22 \implies 4a + b = 11

Eliminating b gives

(4a + b) - (3a + b) = 11 - 9 \implies a = 2

Solving for b,c, we get

4a + b = 11 \implies b = 11-4\cdot2 = 3

a+b+c=3 \implies c=3-2-3 = -2

So, the n-th term of the sequence is

x_n = \boxed{2n^2 + 3n - 2}

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2 years ago
What is the area of the square base?
LenaWriter [7]

2*l+b

Step-by-step explanation:

Athena square foot

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3 years ago
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56 divided (-10)<br><br> What is the answer?
ElenaW [278]

Answer:

-5.6

Step-by-step explanation:

56/-10 = -5.6

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3 years ago
Fill in the blanks to rewrite the following statement with variables: Given any positive real number, there is a positive real n
sveticcg [70]

Answer:

a) there is s such that <u>r>s</u> and s is <u>positive</u>

b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

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3 years ago
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
iren2701 [21]
Alternative exterior angles
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