The perimeters of two squares are in the ratio 2 : 4. The perimeter of

- Write a recursive formula to represent the sequence below. (3,7, 11, 15, 19,23,27,31,35, ...)

NemiM [27]

The recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ....

Solution:

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

Let us find the difference between terms

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The nth term of arithmetic sequence is given by:

$a_n =a_1+(n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

$a_1=3$

Substitute in above formula,

$a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1$

Thus the recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ......

8 0

2 years ago

23. Starting with x=0.81818181 , express x as a fraction in simplest form.

White raven [17]

You could do x=81 with the little line on the top (represents the number going on forever, and example is 0.818181818181818181818181818818181818 etc.)

6 0

3 years ago

Read 2 more answers

The price of a sweater is $5 less than twice the price of a shirt. if four shirts and three sweaters cost $275, find the price o

Naily [24]

The price of each shirt is $29 and the price of each sweater is $53 :)

5 0

3 years ago

What are the x-intercept(s) and y-intercept(s) of the graph above.

dem82 [27]

Answer:

A

Step-by-step explanation:

X-intercepts are points on the graph where a line crosses the x-axis (horizontal line).

Given in the graph, the line goes through x-axis at the values -1 on the left, 1, and 2.

Y-intercepts are points on the graph where a line crosses the y-axis (vertical line).

Looking at the graph, the line only goes through the y-axis on the value 2.

Therefore, A is the only logical answer.

3 0

2 years ago

The skate Sports Store offers 4-wheel and 5-wheel inline skates. On display in the store are the left skates for 17 different st

beks73 [17]

There are 6 skates in store with 5 wheels.

<h3>What is Equation?</h3>

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, Let the number of 4 wheel skates in display be x

and the number of 5 wheel skates in display be y

Total number of skates = 17

Total number of wheel = 74

Now, according to question

x + y = 17 ................(i)

4x + 5y = 74 ..................(ii)

From equation (i), we get

x = 17 - y ................(iii)

put the value of y in equation (ii), we get

4(17 - y) + 5y = 74

68 - 4y + 5y = 74

y + 68 = 74

y = 6

Put the value of y in equation (iii), we get

x = 17 - 6

x = 11

Thus, there are 6 skates in store with 5 wheels.

Learn more about Equation from:

brainly.com/question/10413253

#SPJ1

6 0

1 year ago