MYTUTOR SUBJECT ANSWERS

2974 views

Find the 100th term in the sequence 3, 7, 11, 15...

To answer this question, we need to form an equation to work out the nth term of the series. 

To do this, the first thing we do is calculate the difference between each term.

7 - 3 =4

11 - 7 = 4

15 - 11 = 4

The difference each time is 4. Therefore, the equation could be 4n. Let's try it out with the first term. 

4n = 4 x 1 = 4 which is not equal to the first term, 3. 

To get 3 from the equation we have at the moment, we need to subtract 1. 

Let's try the second term with the equation 4n -1. 

4n-1 = 4x2 -1 = 7 which is equal to the second term. 

To double check that we're right, let's use the equation to calculate the 5th term.

4n -1 = 4x5 -1 = 19. 

19 is 4 greater than 15, so we're right!

Now let's calculate the 100th term. 

4n -1 = 4x100 -1 = 399

Therefore the 100th term of this sequence is 399

Melissa P. GCSE Maths tutor, 13 plus  Maths tutor, 11 Plus Maths tuto...

10 months ago

Answered by Melissa, a 13 Plus Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

245 SUBJECT SPECIALISTS

£20 /hr

Naomi S.

Degree: Medicine (Bachelors) - Trinity College Dublin University

Subjects offered:Maths, Music+ 4 more

Maths
Music
Human Biology
Chemistry
-Medical School Preparation-

“*Available to teach exam revision sessions immediately.* I'm a medical student at Trinity College Dublin. ”

£20 /hr

Killian D.

Degree: Mathematics (Bachelors) - Edinburgh University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
.MAT.

“Who am I? I am a first year Mathematics student in the University of Edinburgh. I am studying full time but have chosen to tutor as well as I have a passion for the subject; something I believe you will discover for yourself in our tu...”

£24 /hr

Sioned D.

Degree: Law (Bachelors) - University College London University

Subjects offered:Maths, History+ 4 more

Maths
History
English
Biology
.LNAT.
-Personal Statements-

“Hello! I'm a University College London Final year Law Student with a great deal of tutoring experience in English, Maths, Sciences and Entrance Exams. ”

About the author

£18 /hr

Melissa P.

Degree: Mathematics (Bachelors) - Birmingham University

Subjects offered:Maths, Spanish

Maths
Spanish

“About me:  I am currently studying for a Maths degree at the University of Birmingham. I have enjoyed Maths since I was very young and hope I can pass some of this on to you!  I am very friendly. I have been coaching gymnastics since...”

You may also like...

Posts by Melissa

Factorise fully 3*a^3*b +12*a^2*b^2 + 9*a^5*b^3

Find the 100th term in the sequence 3, 7, 11, 15...

Find the highest common factor of 432 and 522

Find the next three terms of the sequence 17, 14.5, 12, 9.5

Other 13 Plus Maths questions

Factorize 9x+3xy-9zyx

The following sequence reads: 8, 5, 2, -1. What are the 4th and 50th terms of this sequence?

7x-20=3x+4, what is the value of x?

Find the value of 0.3 × 0.2

View 13 Plus Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok