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Readme [11.4K]
3 years ago
15

What is the nth term for 7,11,15,19

Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0

Answer:

a_{n} = 4n + 3

Step-by-step explanation:

Note there is a common difference d between consecutive terms, that is

d = 11 - 7 = 15 - 11 = 19 - 15 = 4

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 4, thus

a_{n} = 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3

You might be interested in
Y plus 4 plus 3(y plus 2)
Serga [27]

Answer:

5y+11

Step-by-step explanation:

y+3+4(y+2)

Use the distributive property to multiply 4 by y+2.

y+3+4y+8

Combine y and 4y to get 5y.

5y+3+8

Add 3 and 8 to get 11.

5 0
2 years ago
Read 2 more answers
How do I solve for -31 -8r = -3(5r -6)
Dennis_Churaev [7]
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
8 0
3 years ago
Connect them plz and ty
SashulF [63]

Answer:

I am truly sorry if any of these answers are incorrect, I am here to help and I will do my best!

Step-by-step explanation:

A clock that uses hands to tell time is less precise than a clock that uses numbers.

A signal stored on a vinyl record is less easily copied than a signal stored in a computer.

A signal that is continuously varying is less reliable than a signal with limited possible values.

A signal transmitted by the human voice loses more energy as it travels than a signal transmitted by a fiberoptic cable.

Hope this helps! :)

If so, Brainliest would be nice... But it is ok if not :)      

5 0
3 years ago
Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the obj
aev [14]

The force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

From the question,

We are to determine the force the object will exert.

From the information,

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object

Let acceleration be a

and

Force be F

Then we can write that,

F ∝ a

Then,

Introducing the constant, mass, m

We get

F = ma

Now, we will determine the mass of the object

F = 15 N

a = 3 m/s²

Putting the parameters into the formula, we get

15 = m × 3

∴ m = 15 ÷ 3

m = 5 kg

The mass of the object is 5 kg.

Now, to determine the force the same object will exert if it accelerates at a rate of 7 m/s²

That is,

a = 7 m/s²

and

m = 5 kg

Putting the parameters into the formula, we get

F = 5 × 7

F = 35 N

Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

Learn more here: brainly.com/question/13590154

4 0
2 years ago
Match the fractions with Equivalent percentages
Mrrafil [7]

In order to match each of the pairs you need to divide the numerator by the denominator to make it into a decimal.

Below are the pairs:

21/25 = 84%

13/20 = 65%

2/5 = 40%

3/4 = 75%

3/5 = 60%

7 0
3 years ago
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