Is (-8,7), (0,1), (2,-6), (2,3), (7,9) a function <br> What’s the domain and range?

Express the terms of the following sequence by giving a recursive formula.

MAXImum [283]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

Linda took her son to the batting cages. For the first 5 minutes, she paid $10 and for each additional minute, she paid $.50. If

iren2701 [21]

Answer:

44 minutes

Step-by-step explanation:

i think

sorry if wrong

3 0

2 years ago

Read 2 more answers

A truck going 50 miles per hour

larisa86 [58]

Answer:

133.33 mph

Step-by-step explanation:

The small trick is to notice the time. Is it 8:00 AM the same day. We don't know, but we will assume it is.

So the truck was on the road for 2 hours.

The car was on the road for 2 - 1/2 = 1 1/2 = 1.5 hours.

The distance travelled was 200 miles

Solution

d = r * t

200 = r * 1.5

200/1.5 = r

r = 133.33 miles / hour

The noise you hear is a siren trying to catch up to the car.

7 0

3 years ago

Evaluate without a calculator:

noname [10]

Answer:

240

Step-by-step explanation:

4 x -5 = -20

-20 x -12 = 240

240 is your answer

hope this helps!

4 0

3 years ago

At an amusement park, the cost of 3 adult tickets and 4 children's tickets is $126.50. Another customer paid $120.50 for 2 adult

Viktor [21]

Answer: the cost of an adult ticket is $21.5

the cost of a child ticket is $15.5

Step-by-step explanation:

Let x represent the cost of an adult ticket.

Let y represent the cost of a child ticket.

At an amusement park, the cost of 3 adult tickets and 4 children's tickets is $126.50. It means that

3x + 4y = 126.5- - - - - - - - - - - -1

Another customer paid $120.50 for 2 adult tickets and 5 children's tickets. It means that

2x + 5y = 120.5- - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 8y = 253

6x + 15y = 361.5

Subtracting, it becomes

- 7y = - 108.5

y = - 108.5/ - 7

y = 15.5

Substituting y = 15.5 into equation 1, it becomes

3x + 4 × 15.5 = 126.5

3x + 62 = 126.5

3x = 126.5 - 62

3x = 64.5

x = 64.5/3

x = 21.5

6 0

3 years ago

Is (-8,7), (0,1), (2,-6), (2,3), (7,9) a function What’s the domain and range?