I need help on this

melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

$\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...$

so

$a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8$

The common difference is equal to

d=1/8

Find the next three terms of the arithmetic sequence

Find a5

$a5=a4+d$ -----> $a5=1/2+1/8=5/8$

Find a6

$a6=a5+d$ -----> $a6=5/8+1/8=3/4$

Find a7

$a7=a6+d$ -----> $a7=3/4+1/8=7/8$

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

$4.1,3,1.9,0.8,...?$

so

$a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8$

$a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1$

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

$an=a1+d(n-1)$

substitute the values

$an=4.1-1.1(n-1)$

For n=37

substitute

$a37=4.1-1.1(37-1)$

$a37=4.1-1.1(36)$

$a37=-35.5$

4 0

3 years ago

Match the graph to the related table.

lana66690 [7]

Answer:

Option C

Step-by-step explanation:

Option c is right answer

3 0

3 years ago

Read 2 more answers

You are planning to email to two lists. the first list has 1,200 names. the second list has 900 names. there are 150 names that

Snezhnost [94]

Answer: There are 1800 unique names from both the lists.

Explanation:

Since we have given that

there are two lists :

In First list, number of names = 1200

In Second list, number of names = 900

According to question , we have also given that

there are 150 names that appear on both lists,

So,

Number of unique names in the first list is given by

$1200-150=1050$

Number of unique names in the second list is given by

$900-150=750$

Therefore, total number of unique names is given by

$1050+750=1800$

Hence, there are 1800 unique names from both the lists.

3 0

3 years ago

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Select the correct answer. Consider the following system of equations. Use this graph of the system to approximate its solution.

vesna_86 [32]

The approximate solution to the given system of equations, considering the graph, is given as follows:

D. $\left(-\frac{13}{4}, \frac{5}{2}\right)$ .

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:

D. $\left(-\frac{13}{4}, \frac{5}{2}\right)$

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0

2 years ago

6 Monica reads 15 pages of a mystery book in 9 minutes. What is

Ivan

Answer:

135

Step-by-step explanation:

15 x 9 = 135

3 0

3 years ago

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