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Paul [167]
2 years ago
12

The first four terms of a sequence are shown below:

Mathematics
2 answers:
algol132 years ago
6 0

Answer:

Option 4 is correct.


Step-by-step explanation

Here the first term is 8 so  the first term is given by f(1) = 8

Since here the  given series is arithmetic series and here common difference is given by 5-8 = -3

Recurrence relation is given by f(n+1) - f(n) =  d

                                        where d is common difference which is given  to be  -3 .

therefore  it is given as

   f(n+1) -f(n) = -3

         f(n+1) = f(n) -3      [ adding f(n) both sides]

Since n is starting from 1 there for   its fourth option is correct

f(1) =8 and , f(n+1) = f(n) -3 ) , for n ≥1



yanalaym [24]2 years ago
3 0

Answer:

Choice D is the correct answer.

Step-by-step explanation:

We have given a arithematic sequence.

8,5,2,-1

We have to find a recurrence relation for given sequence.

The formula for common difference of arithematic sequence is:

f(n+1)-f(n) = d where f(n) and f(n+1) are consecutive terms and d is common difference between consecutive terms.

In given sequence,

f(1) = 8 and f(2) = 5

d = -3

putting the value of d in above formula , we have

f(n+1)-f(n) = -3

Adding f(n) to both sides of above equation, we have

f(n+1)-f(n)+f(n) = f(n)-3

f(n+1) = f(n)-3

since given that n = 1

f(n+1) = f(n)-3   ; for n ≥ 1   which is the answer.

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Suppose the total area is represented by the equation x^2+14x+24. If the area 1 is x^2 square units and area IV is 24 units, wha
Nutka1998 [239]

Answer:

See Explanation

Step-by-step explanation:

Given

Total = x^2 + 14x + 24

Area\ I = x^2

Area\ IV = 24

Required

True about area II and III

The question is incomplete; so, I will answer using general knowledge.

If the total area is:

Total = x^2 + 14x + 24

And there are 4 areas, then;

Total = Area\ I + Area\ II + Area\ III + Area\ IV

Rewrite as:

Total = Area\ I + Area\ IV+ Area\ II + Area\ III

This gives:

x^2 + 14x + 24 = x^2 + 24+ Area\ II + Area\ III

Collect like terms

x^2 -x^2 + 14x + 24 -24=  Area\ II + Area\ III

14x =  Area\ II + Area\ III

Rewrite as:

Area\ II + Area\ III  = 14x

<em>So, the sum of areas III and IV must be 14x</em>

4 0
3 years ago
If four times a number plus 3 is 11, what is the number? a. 4 bm 2 c. 16 d. 5​
goblinko [34]

Answer:

B. 2 (Second Option)

Step-by-step explanation:

Four times: ⇒ 4

Number:⇒  y

4y+3=11

<em>Subtract by 3 both sides of equation.</em>

<em>4y+3-3=11-3</em>

<em>Simplify.</em>

<em>11-3=8</em>

<em>4y=8</em>

<em>Divide by 4 both sides of equation.</em>

<em>4y/4=8/4</em>

<em>SImplify, to find the answer.</em>

<em>8/4=2</em>

<em>y=2 is the correct answer.</em>

<em>2 is the correct answer.</em>

6 0
3 years ago
Read 2 more answers
−1.2(3x − 3) = 4(3x +0.9)<br><br><br> help pls
Viefleur [7K]

Answer:

- 1.2(3x - 3) = 4(3x + 0.9) \\  - 3.6x + 3.6 = 12x + 3.6 \\  12x + 3.6x = 3.6 - 3.6 \\ 15.6x = 0 \\  \\ x =  \frac{0}{15.6}  \\  \\ x = 0

I hope I helped you^_^

6 0
2 years ago
HELP ME WITH MATH!!! So basically I have to figure out how many hours that is between the times.
Ad libitum [116K]

Answer: (I think its correct)

1: 8 hours and 30 minutes

2: 8 hours

3: 8 hours and 50 minutes

4: 8 hours and 45 minutes

5: 7 hours and 48 minutes

6: 11 hours 13 minutes

7: 11 hours 31 minute

Step-by-step explanation: (Im bad at explaining it)

So I got this by using counting the hours in between the times and taking out the minutes in them,then subtracting the time they took the fall asleep. Every time that has minutes I add that, if it is over 60 minutes I subtract 60 minutes. So like 30+35=65 | 65-60=5.

Lets do a problem: 9:15 (bed) | 10:30(woke up) | 30 minutes (fall asleep)

So we count how many hours in each time and we take out the minutes, so 9:00, 10:00, 11:00, so on and so forth.

So in between the hours its was 13. Then we add the minutes (15+30)

15+30=45. So the answer is 13 hours and 45 minutes, but we got to subtract 13 hours and 45 minutes which is 13 hours and 15 minutes.

Final Answer: 13 hours and 15 minutes.

8 0
2 years ago
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What number is 30 more than -16?
Tamiku [17]
14
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3 0
3 years ago
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