All categories

2 years ago

Please help!posted picture of question

Mathematics

1 answer:

ale4655 [162]2 years ago

7 0

We have the following arithmetic series:
4, 13, 22, 31, 40
The common difference is given by:
13-4 = 9
22-13 = 9
31-22 = 9
40-31 = 9
Since it is an arithmetic series, the difference is constant.
Answer:
The common difference is:
9
option 4

You might be interested in

How do i find the answer?

Savatey [412]

distance = rate * time

rate = distance / time

rate = .75 miles / .666666 hours

rate = 1.125 miles per hours (.125 = (1/8) ) so

rate = 1 plus 1/8 miles per hour. answer is B

3 0

3 years ago

Read 2 more answers

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0

2 years ago

Which of the following statements is not always true? A. In a rhombus, both pairs of opposite sides are parallel. B. In a rhombu

Sunny_sXe [5.5K]

The correct answer is C. I just took a test and answered B but that is not the correct answer. it is actually C

8 0

2 years ago

A student determined the value of x as shown. Explain the students error. (Click on photo and NO ABSOLUTELY NO LINKS)

postnew [5]

Answer:

Answer is in the link below- jkjk

Step-by-step explanation:

It's a right angle so it can only add to 90 degrees, not 180

5 0

2 years ago

Multiplying and simplify radicals!

astra-53 [7]

Answer:

10√5 - 5√2

5(2√5 - √2)

Step-by-step explanation:

Given:

2√5(5 - 5√5)

Required:

Multiply and simplify

Solution:

2√5(5 - 5√5)

Apply distributive property by multiplying each term in the bracket by 2√5

2√5*5 - 2√5*5√5

2*5√5 - 2*5√5*√5

10√5 - 10√25

10√5 - 10*5

10√5 - 50

10√5 - (25*2)

10√5 - 5√2

5(2√5 - √2)

3 0

2 years ago