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Kruka [31]
3 years ago
7

What is the recursive rule for the following sequence: -9, -2, 5, 12, ….

Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

Answer:

The answer is option (C)=an-1+7

Step-by-step explanation:

A recursive rule is a formula that in which each term is expressed as a function of its preceding term(s), meaning in order to get to the nth term you have to express it in a form of the term that comes before it. In our case the a(n-1) term

So for the sequence -9, -2, 5, 12

The nth term is any number on the sequence and

  • -2 is the a(n-1) term for -9
  • 5 is the a(n-1) term for -2
  • 12 is the a(n-1) term for 5

So we need to find out what we have to do to the preceding term to get the next.

To get -2 from -9 we have to add 7 to -9; -9+7=-2

To get 5 from -2 we have to add 7 to -2; -2+7=5

To get 12 from 5 we add 7 to 5; 7+5=12

So the recursive rule would be= a n-1+7

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How many 3/4 foot pieces of string can be cut from a piece of string 4 1/2 feet long
Gnom [1K]
3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string. 
8 0
2 years ago
If (a^x a ^y) - a^z = a^m then express m in terms of x, y and z.​
omeli [17]

Answer:

m = x+y-z

Step-by-step explanation:

Given the expression.

(a^x a ^y) ÷ a^z = a^m

We are to express m in terms of x, y and z.

Using the multiplicative law of indices, the expression becomes:

a^{x+y} ÷ a^z = a^m

Applying the division rule in indices

a^{x+y} ÷ a^z = a^{x+y-z}

The equation becomes

a^{x+y-z} = a^m

Cancel out the base and equate the powers as shown:

x+y-z = m

Hence the expression of m in terms of x, y and z is m = x+y-z

8 0
2 years ago
HELP ASAP
Andrej [43]

Answer:

the answer is each piece of trim is 43 cm long

185-13 = 172

172 divided by 4 pieces came out to 43 cm

(I don't know the equation part)

Step-by-step explanation:

5 0
3 years ago
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa
Minchanka [31]
Lets do this:-

A. 7 Sandwiches

18 - 7 = 11

7 × $7.75 =  $54.25
7 sandwiches cost $54.25.

11 × $4.50 = $49.50
11 soups costs $49.50

49.50 + 54.25 = 103.75
A is not d answer cuz d total of d lunches came to $113.50. 

B. 8 sandwiches

18 - 8 = 10

8 × $7.75 =  $62
8 sandwiches cost $62.

10 × $4.50 = 45
8 soups costs $45

62 + 45 = 107

B is not d answer cuz d total of d lunches came to $113.50. 

C. 9 Sandwiches.

18 - 9 =  9

9 × $7.75 = 69.75
9 sandwiches cost $69.

9 × $4.50 = 40.50
9 soups costs $40.50

69 + 40.50 = 109.5

C is not d answer cuz d total of d lunches came to $113.50. 

D. 10 Sandwiches

18 - 10 = 8

10 × $7.75 = $77.75
10 sandwiches cost $77.75.

8 × $4.50 = $36
8 soups costs $36.

77.75 + 36 = <span>113.75

</span>D is not d answer cuz d total of d lunches came to $113.50. 

So, based on your answer choices there is no correct choice. <span />
7 0
2 years ago
What is the slope of the line that goes through the points (-3, 8) and (0, 23)?
Kipish [7]

Answer:

5

Step-by-step explanation:

(-3, 8) and (0, 23)

m=(y2-y1)/(x2-x1)

m=(23 - 8)/(0+3)

m=(15)/3

m = 5

5 0
3 years ago
Read 2 more answers
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