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alukav5142 [94]
2 years ago
9

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? check all that apply. f(n) = –6.5n 14.5 f(n) = –1.5n

9.5 f(n) = 6.5n 1.5 f(1) = 8, f(n 1) = f(n) – 6.5 f(1) = 8, f(n 1) = f(n) – 1.5 f(1) = 8, f(n 1) = f(n) 6.5
Mathematics
1 answer:
12345 [234]2 years ago
5 0

The function that represents the arithmetic sequence 8, 1.5, –5, –11.5 is given by:

f(n) = f(n - 1) - 6.5, f(1) = 8.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1)d

In which a_1 is the first term.

The sequence can also be represented by a recursive function, as follows:

f(n) = f(n - 1) + q, f(1) = a_1

In this problem, the first term is of 8, while the common ratio is of q = -6.5, hence the function is:

f(n) = f(n - 1) - 6.5, f(1) = 8.

More can be learned about arithmetic sequences at brainly.com/question/23842987

#SPJ4

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oksian1 [2.3K]

Answer:

Step-by-step explanation:

6 0
3 years ago
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Consider this algebraic expression:     –3x + x + 5 Use the algebra tiles to model the expression.
luda_lava [24]

For this case, we have the following expression:

-3x + x + 5

We simplify the expression:

If we add similar terms, taking into account that different signs are subtracted and the sign of the greater one is placed, we have that -3x + x = -2x

So, we have to:

-3x + x + 5 = -2x + 5

Answer:

-3x + x + 5 = -2x + 5

6 0
3 years ago
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The equation represents an ellipse. which points are the vertices of the ellipse? (7, 1) and (7, −5) (7, −10) and (7, 6) (10, −2
OleMash [197]

The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).

<h3>Which points among the answer choices represents the vertices of the ellipse whose equation is given?</h3>

The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.

Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;

(x-h)²/a² +(y-k)²/b² = 1.

Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.

Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).

The vertices in this scenario are therefore;

(7+8, -2) and (7-8, -2).

= (15, -2) and (-1, -2).

Read more on vertices of an ellipse;

brainly.com/question/9525569

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7 0
1 year ago
Cedric buys a cantaloupe every week. The first time he bought a cantaloupe, it cost $2.40. He notices the price is getting less
Leviafan [203]
Hi all! ❤


I know this answer is late, so for anyone in the future, I am 100% positive about these answers, I just took the quiz. So here they are...


The graph has a y-intercept only.

The point (0, 2.40) is on the graph.

The graph increases from left to right. 


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6 0
3 years ago
Plz answer only if correct :)) <br> (this is trig.ratios) in
slamgirl [31]

Answer:

39

Step-by-step explanation:

Since you want to find the variable x all you have to do is simple subtraction.

The two numbers (61 and 22). Subtract those numbers and you get 39. Now it wants you to round to the jearest hundredth but there is no hundreds place so we can round to the nearest tenth. Which would be 30! Hope it helped... :)!

bye

8 0
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