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Studentka2010 [4]
3 years ago
15

State the explicit form of the pattern: 4, 9, 14, 19, ... A) an = n + 5 B) an = 2n - 5 C) an = 2n - 1 D) an = 5n - 1

Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0

Answer:

(D) an = 5n - 1

Step-by-step explanation:

The sequence is generated by substituting a value for n.

The first term of the sequence is 4

So when n = 1

The formula is an = 5n - 1

a1 = 5(1) - 1

a1 = 5 - 1

a1 = 4

The second term of the sequence is 9.

So n = 2

a2 = 5(2) - 1

a2 = 10 - 1

a2 = 9

To find the next value you just have to substitute the next value for n.

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Functions and Transformations
DaniilM [7]

The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by  

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

6 0
2 years ago
Order the rational numbers from least to greatest<br> 0.42, -1/2, 11/20, and -0.51
umka21 [38]
-0.51, -1/2, 0.42, 11/20
7 0
3 years ago
Read 2 more answers
Find an explicit rule for the nth term of the sequence.
taurus [48]

Answer: -4 . 2ⁿ⁻¹

Step-by-step explanation: This is a geometric progression

the nth term is given by arⁿ⁻¹

a = the first term of the sequence

r = common ratio

n=  number of terms

for this sequence

a = -4

r = -8/-4 = 2

nth term, an = -4 . 2ⁿ⁻¹

3 0
3 years ago
Mrs. Rodriguez is going to use 6 1/3 yards of material to make two dresses . the large dress requires3 2/3 yards of material. ho
Dmitry_Shevchenko [17]

Answer:

She has 6 1/3. The larger dress need 3 2/3. So 6 1/3 - 3 2/3 = 2 2/3

So Mrs. Rodriguez will need 2 2/3 for the smaller dress

Step-by-step explanation:

7 0
3 years ago
Ms. McNeil buys 2.4 gallons of gasoline. the total cost is $7.56. Write and solve an equation to find the price p in dollars of
tino4ka555 [31]
If you know the whole price for 2.4 gallons, divide the whole price by 2.4 to get the cost for one, because when you multiply the cost for 1 by 2.4, you get the total. 

7.56/2.4 = 3.15, 

p= 3.15
6 0
4 years ago
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