1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
love history [14]
2 years ago
11

What is the next term in the arithmetic sequence? 9,17,25,33,...

Mathematics
1 answer:
lions [1.4K]2 years ago
3 0

<u>Answer:</u>

<u><em>41</em></u>

<u />

<u>Explanation:</u>

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

<em>9, 17, 25, 33,...</em>

<em />

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

<em>9 - first term</em>

<em>17 - second term</em>

<em />

<em>17 - 9 = 8</em>

<em />

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

<em>9, 17, 25, 33,...</em>

<em>9 </em><em>+ 8 = </em><em>17</em>

<em>17  </em><em>+ 8 = </em><em>25</em>

<em>25 </em><em>+ 8 = </em><em>33</em>

<em />

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

<em>9, 17, 25, 33,...</em>

<em />

<em>33 </em><em>+ 8 = </em><em>41</em>

<em />

<em>9, 17, 25, 33, 41,...</em>

<em />

Therefore, the next term in the arithmetic sequence is <u><em>41</em></u>.

You might be interested in
The enrolment of our school is 800. If 35 % are girls
Anvisha [2.4K]

Answer:

a 7/20. B 13/20

Step-by-step explanation:

800 X 35% = 280

280/800=7/20

6 0
2 years ago
Read 2 more answers
Find five rational numbers between −2 and 0
Harlamova29_29 [7]

Answer:

-9/5 , -8/5 , -7/5, -6/5 , -5/5.

Step-by-step explanation:

brainliest plsssss

6 0
3 years ago
Write the numeral for: Three thousand and five dollars and six cents.​
maxonik [38]

$3,005.06 is the answer for the question

6 0
2 years ago
Read 2 more answers
70 points !!! So try
Kazeer [188]

Answer:

1/ 5²

Step-by-step explanation:

= 5³ × 1/5⁵

= 125 × 1/5⁵

= 125/3125

= 1/25 or 1 / 5²

3 0
3 years ago
Read 2 more answers
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut
Tom [10]

Answer:

x + $0.30 = y

Step-by-step explanation:

hope this helps!

4 0
3 years ago
Read 2 more answers
Other questions:
  • The mean for your data set is 13. The standard deviation is 2.5. What is the z-score for 10? Note 1: If necessary, round your an
    5·1 answer
  • Complete the pattern, 1.1, 2.2, 3-3. What is the rule?
    5·1 answer
  • Please help me to prove this..​
    15·2 answers
  • Please help thx ______________
    8·2 answers
  • Select the correct answer. The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. W
    10·1 answer
  • PLS HELP FAST<br><br>Question in attachment<br><br>The line is 8 cm on the map
    6·1 answer
  • What is 2² x 5 ? Some help me please !
    13·2 answers
  • Please help due in 20 minutes will give brainliest.
    10·1 answer
  • katie gives maggie half of her pencils maggie keeps five pencils and gives the rest to jamil how many pencils did katie have if
    7·1 answer
  • A laptop has a listed price of $841.95 before tax. If the sales tax rate is 9.5%, find the total cost of the laptop with sales t
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!