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antiseptic1488 [7]
3 years ago
9

Consider the arithmetic sequence:

Mathematics
2 answers:
swat323 years ago
6 0

Answer:

D) 8 + 2n for n > 1

Step-by-step explanation:

Leona [35]3 years ago
4 0

Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: a_n=a_1+(n-1)d

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n

So, nth term is: a_n=8+2n

In the options below, the only correct answer is option D. so, we can write nth term as: d(n) = 8 + 2n\: for\: n > 1

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

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____ [38]
<h3>Answer:</h3>
  • A. x = -2
  • B. (-2, -3), (-3, -1)
  • C. x = 0
<h3>Step-by-step explanation:</h3>

Part A. The solution is represented by the point at which the graphs intersect: (-2, -3). The x-value that makes p(x) = f(x) is x = -2.

___

Part B. The point found in Part A is one solution to f(x). The graph shows the line has a slope of -2, so another point will be 1 to the left and 2 up: (-3, -1). So, two solutions are ...

... (-2, -3) and (-3, -1)

___

Part C. The graphs of p(x) and g(x) intersect at the point (0, 2). This means

... p(0) = g(0) = 2

So, x = 0 is the solution to the equation p(x) = g(x).

7 0
3 years ago
Please help me on this
aleksandr82 [10.1K]
The correct answer is C
5 0
3 years ago
You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inc
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

14/19/24

6 0
3 years ago
28 - 6(2x + 4) = 124​
Iteru [2.4K]

Answer: x = -12 is the correct answer

Step-by-step explanation: the moderator that deleted this if is so wrong then just tell me why is wrong if you are so smart.

5 0
3 years ago
Find AB using the given matrices.
solniwko [45]

The entry in row 1, column 1 of \mathbf{AB} is

\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}5\\6\end{bmatrix}=2\cdot5+4\cdot6=34

(i.e. the dot product of row 1 of \mathbf A and column 1 of \mathbf B)

The entry in row 1, column 2 of \mathbf{AB} is

\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}-9\\-4\end{bmatrix}=2\cdot(-9)+4\cdot(-4)=-34

The second option is the correct answer.

5 0
2 years ago
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