Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : nth Term of an Arithmetic Sequence

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Nth Term Of An Arithmetic Sequence

If the first day of the year is a Monday, what is the 295th day?

Possible Answers:

Tuesday

Saturday

Wednesday

Monday

Correct answer:

Monday

Explanation:

The 295th day would be the day after the 42nd week has completed. 294 days/7 days a week = 42 weeks. The next day would therefore be a monday.

Report an Error

Example Question #1 : Nth Term Of An Arithmetic Sequence

If the first two terms of a sequence are $\small \pi$ and $\small 2\pi ^{2}$ , what is the 38th term?

Possible Answers:

$\small 2\pi ^{38}$

$\small 2^{37}\pi ^{37}$

$\small 2\pi ^{37}$

$\small 2^{38}\pi ^{38}$

$\small 2^{37}\pi ^{38}$

Correct answer:

$\small 2^{37}\pi ^{38}$

Explanation:

The sequence is multiplied by $\small 2\pi$ each time.

Report an Error

Example Question #2 : Arithmetic Sequences

Find the 10th term of the following sequence:

-3,-15,-27,-39,...

Possible Answers:

$a_{10}=-99$

$a_{10}=-123$

$a_{10}=-125$

$a_{10}=-111$

$a_{10}=-113$

Correct answer:

$a_{10}=-111$

Explanation:

The formula for finding the $n^{th}$ term of an arithmetic sequence is as follows:

a_n=a_1+d(n-1)

where

= the difference between consecutive terms

= the number of terms

Therefore, to find the 10th term:

$a_{10}=-3+(-12)(10-1)$

$a_{10}=-3+(-12)(9)$

$a_{10}=-3-108$

$a_{10}=-111$

Report an Error

Example Question #3 : Arithmetic Sequences

What is the rd term of the following sequence: 17,24,31,38,... ?

Possible Answers:

589

711

651

579

661

Correct answer:

661

Explanation:

Notice that between each of these numbers, there is a difference of ; however the first number is 10 + 7 , the second 10 + 7 * 2 , and so forth. This means that for each element, you know that the value must be 10 + 7*n , where is that number's place in the sequence. Thus, for the rd element, you know that the value will be 10 + 7*93 = 10 + 651 or 661 .

Report an Error

Example Question #2 : Arithmetic Sequences

What is the th term in the following series of numbers: 4,10,16,22,... ?

Possible Answers:

116

120

172

118

148

Correct answer:

118

Explanation:

Notice that between each of these numbers, there is a difference of . This means that for each element, you will add . The first element is 6-2 or . The second is 6*2-2 or , and so forth... Therefore, for the th element, the value will be 6*20-2 or 118 .

Report an Error

Example Question #1 : Nth Term Of An Arithmetic Sequence

Find the sum of the first fifteen terms in an arithmetic sequence whose sixth term is and whose ninth term is .

Possible Answers:

123

117

Correct answer:

Explanation:

Use the formula a_n = a₁ + (n – 1)d

a₆ = a₁ + 5d

a₉ = a₁ + 8d

Subtracting these equations yields

a₆– a₉ = –3d

–7 – 8 = –3d

d = 5

a₁ = 33

Then use the formula for the series; = –30

Report an Error

Example Question #4 : Nth Term Of An Arithmetic Sequence

Given the sequence of numbers:

1, 5, 9, _ , _ , 21 ....

What are the two missing terms of the arithmetic sequence?

Possible Answers:

13, 16

14, 17

14, 16

12, 18

13, 17

Correct answer:

13, 17

Explanation:

The sequence is defined by a_n= 4n – 3 for such n = 1,2,3,4....

Report an Error

Example Question #1 : How To Find The Next Term In An Arithmetic Sequence

What is the next term in the following sequence?

$\left \{ 4,11,18,25,32... \right \}$

Possible Answers:

Correct answer:

Explanation:

What is the next term in the following sequence?

$\left \{ 4,11,18,25,32... \right \}$

This is an arithmetic sequence with a common difference of . To find the next term in an arithmetic sequence, add the common difference to the previously listed term:

32+7=39

Report an Error

Example Question #1 : How To Find The Next Term In An Arithmetic Sequence

Find the sixth term in the following number sequence.

3,7,11...

Possible Answers:

Correct answer:

Explanation:

This question can be answered by analyzing the sequence provided and determining the pattern. The first term is , and the second term is The third term is 11. Thus, has been added to in order to obtain , and has been added to in order to obtain 11. This shows that is added to each preceding term in the sequence in order to obtain the next term. The complete sequence from terms one through six is shown below.

3,7,11,15,19,23

Thus, the sixth term is 23.

Report an Error

Example Question #3 : How To Find The Next Term In An Arithmetic Sequence

What is the next term of the series 4,11,9,16,14 ?

Possible Answers:

Correct answer:

Explanation:

Begin by looking at the transitions from number to number in this series:

From to : Add

From to : Subtract

From to : Add

From to : Subtract

From what you can tell, you can guess that the next step will be to add . Thus, the next value will be .

Report an Error

View ACT Math Tutors

Sanchita
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Psychology.

View ACT Math Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View ACT Math Tutors

Kavya
Certified Tutor

University of Kansas, Bachelor of Science, Cellular and Molecular Biology.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

MCAT Courses & Classes in Atlanta, Spanish Courses & Classes in Houston, SAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Chicago, ISEE Courses & Classes in San Diego, ISEE Courses & Classes in Atlanta, MCAT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Atlanta, MCAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

SAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Dallas Fort Worth, LSAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Chicago, GMAT Test Prep in San Diego, GRE Test Prep in Seattle, SAT Test Prep in Denver, GMAT Test Prep in Dallas Fort Worth, ISEE Test Prep in San Diego, MCAT Test Prep in Seattle

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ACT Math : nth Term of an Arithmetic Sequence

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : Nth Term Of An Arithmetic Sequence

Example Question #1 : Nth Term Of An Arithmetic Sequence

Example Question #2 : Arithmetic Sequences

Example Question #3 : Arithmetic Sequences

Example Question #2 : Arithmetic Sequences

Example Question #1 : Nth Term Of An Arithmetic Sequence

Example Question #4 : Nth Term Of An Arithmetic Sequence

Example Question #1 : How To Find The Next Term In An Arithmetic Sequence

Example Question #1 : How To Find The Next Term In An Arithmetic Sequence

Example Question #3 : How To Find The Next Term In An Arithmetic Sequence

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: