Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math II : Sequences

Study concepts, example questions & explanations for SAT II Math II

Create An Account

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #141 : Sat Subject Test In Math Ii

An arithmetic sequence begins as follows:

$\frac{5}{12}, 0.45,...$

Give the tenth term.

Possible Answers:

$\frac{3}{4}$

$\frac{2}{3}$

$\frac{7}{10}$

$\frac{11}{15}$

$\frac{43}{60}$

Correct answer:

$\frac{43}{60}$

Explanation:

Rewrite 0.45 as a fraction:

$0.45 = \frac{45}{100} = \frac{9}{20}$

The common difference of an arithmetic sequence can be found by subtracting the first term from the second:

$d = a_{2} - a_{1} = \frac{9}{20} - \frac{5}{12} = \frac{27}{60} - \frac{25}{60} = \frac{2}{60} = \frac{1}{30}$

The th term of an arithmetic sequence can be found using the formula

$a_{n} = a_{1} + (n-1)d$ .

Setting $n = 10, a_{1} = \frac{5}{12} , d = \frac{1}{30}$ :

$a_{10} = \frac{5}{12} + (10-1) \cdot \frac{1}{30}$

$= \frac{5}{12} + 9 \cdot \frac{1}{30}$

$= \frac{5}{12} + \frac{3}{10}$

$= \frac{25}{60} + \frac{18}{60}$

$= \frac{43}{60}$ ,

the correct response.

Report an Error

Example Question #112 : Mathematical Relationships

An arithmetic sequence begins as follows:

$\frac{3}{4} , \frac{13}{16} , \frac{7}{8},...$

Give the eighteenth term of the sequence.

Possible Answers:

$1\frac{7}{8}$

$1 \frac{13}{16}$

$1\frac{3}{4}$

$1\frac{15}{16}$

Correct answer:

$1 \frac{13}{16}$

Explanation:

The common difference of an arithmetic sequence can be found by subtracting the first term from the second:

$d= a_{2} - a_{1}$

Setting $a_{1} = \frac{3}{4}, a_{2} = \frac{13}{16}$ :

$d = \frac{13}{16} - \frac{3}{4} = \frac{13}{16} - \frac{12}{16} = \frac{1 }{16}$

The th term of an arithmetic sequence can be calculated using the formula

$a_{n} = a_{1} + (n- 1)d$

The eighteenth term can be found by setting $a_{1} = \frac{3}{4} = \frac{12}{16},n = 18, d = \frac{1 }{16}$ and evaluating:

$a_{18} = \frac{12}{16} + (18- 1) \frac{1}{16}$

$= \frac{12}{16}+ 17 \cdot \frac{1}{16}$

$= \frac{12}{16} + 17 \cdot \frac{1}{16}$

$= \frac{12}{16} + \frac{17}{16}$

$= \frac{29}{16}$

$=1 \frac{13}{16}$

Report an Error

View SAT Subject Test in Mathematics Level 2 Tutors

Sumit
Certified Tutor

Calcutta University, Bachelor of Science, Mathematics. Indian Statistical Institute, Master of Science, Mathematics.

View SAT Subject Test in Mathematics Level 2 Tutors

Nafis
Certified Tutor

University of Leipzig, Germany., Bachelor of Science, Physics. University of Pittsburgh-Pittsburgh Campus, Doctor of Philosop...

View SAT Subject Test in Mathematics Level 2 Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Atlanta, English Tutors in Phoenix, English Tutors in Chicago, Algebra Tutors in Dallas Fort Worth, Algebra Tutors in San Francisco-Bay Area, Biology Tutors in Houston, ISEE Tutors in Denver, SAT Tutors in Seattle, Math Tutors in San Diego, Biology Tutors in Washington DC

Popular Courses & Classes

LSAT Courses & Classes in Chicago, LSAT Courses & Classes in Boston, GRE Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Houston, SAT Courses & Classes in Atlanta, ISEE Courses & Classes in Boston, SAT Courses & Classes in New York City, SAT Courses & Classes in San Diego

Popular Test Prep

LSAT Test Prep in Chicago, GRE Test Prep in Washington DC, SAT Test Prep in Phoenix, GRE Test Prep in Dallas Fort Worth, ISEE Test Prep in Dallas Fort Worth, SAT Test Prep in Washington DC, GRE Test Prep in Houston, ACT Test Prep in Houston, LSAT Test Prep in Denver, SAT Test Prep in New York City

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

SAT II Math II : Sequences

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #141 : Sat Subject Test In Math Ii

Example Question #112 : Mathematical Relationships

All SAT II Math II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: