1628 views

### Find the nth term of the sequence 7,11,15,19...

The nth term is a formula that allows us to find the value of a term in a sequence given its position in the sequence, whether this is the second term (n=2) or the millionth (n=1000000).

In the above sequence, there is a difference of four between each term: 11-7=4, 15-11=4, etc. This means that the nth term is going to look something like 4n+6, or 4n-3, but we need to be sure of the number we are adding or subtracting at the end. The first term (n=1) is seven. So we know that 4(1) + *something* = 7

4(1)=4x1=4

4+*something*=7

and subtracting 4 from both sides gives us 3. So the nth term is 4n+3. To check our answer, we can check another term. The fourth term (n=4) is 19, so putting n=4 in our formula should give 19.

fourth term = 4(4)+3

=16+3

=19, which is what we wanted, so we can be sure that the nth term is indeed 4n+3.

9 months ago

Answered by Joe, a GCSE Maths tutor with MyTutor

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

#### 579 SUBJECT SPECIALISTS

£20 /hr

Akhil P.

Degree: Medicine (Bachelors) - Imperial College London University

Subjects offered:Maths, Physics+ 6 more

Maths
Physics
Chemistry
Biology
.UKCAT.
-Personal Statements-
-Medical School Preparation-

“First Year Medical student at Imperial College. Studies all 3 sciences and Maths at A-levels and did an EPQ(4 A*s and an A)”

£18 /hr

Georgia H.

Degree: Politics and International Relations (Bachelors) - Cambridge University

Subjects offered:Maths, Politics+ 3 more

Maths
Politics
Government and Politics
English
-Oxbridge Preparation-

“I'm an enthusiastic and passionate student with a real interest in helping others achieve their aims and increasing their enjoyment of their subjects!”

MyTutor guarantee

£36 /hr

Timothy N.

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Design & Technology
-Personal Statements-

“Hi there, I have a passion for helping students achieve, and believe that with my 200+ hours of experience, we will be able to surpass the grades you want!”

£36 /hr

Joe B.

Degree: Mathematics G100 (Bachelors) - Bath University

Subjects offered:Maths, Further Mathematics + 3 more

Maths
Further Mathematics
.STEP.
.MAT.
-Personal Statements-

“Hi! I'm Joe, a friendly, experienced and patient tutor with in-depth knowledge of both the old and new A Level Maths & Further Maths specifications.”

### You may also like...

#### Posts by Joe

Find arsinh(x) in terms of x

Find the nth term of the sequence 7,11,15,19...

Show that 2sin(2x)-3cos(2x)-3sin(x)+3=sin(x)(4cos(x)+6sin(x)-3)

#### Other GCSE Maths questions

Solve the Simultaneous Equations -3X + 4Y=11 & X-2Y = -5 to find the values of X and Y

3x^2 + 7x - 13 = 0. What is x?

Solve ((3x+2)/(x-1)) +3 =4

When do I use a cosine rule over a sine rule?

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