MYTUTOR SUBJECT ANSWERS

61 views

A sequence is defined by the recurrence relation u(n+1) = 1/3 u(n) + 10 with u(3) = 6 . Find the value of u(4) and the limit of the sequence.

A sequence is defined by the recurrence relation un+1 = 1/3 un + 10  with u3 = 6 . Find the value of u4 and the limit of the sequence.

To find the value of u4 we replace un by u3 in the equation and then calculate un+1

u4 = 1/3 u3 + 10

u4 = 1/3 x 6 + 10

u4 = 2 + 10

u4 = 12

To find the limit of the series we have to find for which value un+1 is equal to un .

Let's call this value x . Then we have:

x = 1/3 x + 10

We can subtract 1/3 x on both sides to get:

x - 1/3 x = 10

2/3 x = 10

Now we multiply by 3 and then divide by 2:

x = 10 x 3 / 2

x = 15

The limit of the sequence is 15.

David-Ruben S. GCSE Physics tutor, A Level Physics tutor, IB Physics ...

1 month ago

Answered by David-Ruben, a GCSE Physics tutor with MyTutor

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

102 SUBJECT SPECIALISTS

£24 /hr

Vandan P.

Degree: Physical Natural Sciences (Bachelors) - Cambridge University

Subjects offered: Physics, Science+ 6 more

Physics
Science
Maths
Further Mathematics
Chemistry
.STEP.
.MAT.
-Oxbridge Preparation-

“I am a second year undergraduate at Corpus Christi College Cambridge. I am studying Natural Sciences. In my first year I did Physics, Chemistry, Computer Science and Maths and passed with first class honours....”

£18 /hr

David-Ruben S.

Degree: Mathematical Physics (Masters) - Edinburgh University

Subjects offered: Physics, Maths+ 1 more

Physics
Maths
German

“Hello, my name is David, I’m studying Mathematical Physics at the University of Edinburgh. I have been studying in Edinburgh for 3 years. I’m from Germany, I’ve always liked to go and live abroad, to make new experiences and meet peop...”

MyTutor guarantee

£18 /hr

Matthew C.

Degree: Geography (Bachelors) - Oxford, St Catherine's College University

Subjects offered: Physics, Geography+ 1 more

Physics
Geography
Chemistry

“Hi, I'm Matt!I'm currently in my second year at Oxford University studying Geography. I achieved 3 A*'s in Geography, Physics and Chemistry at A-level and have a real interest and passion in these subjects. I was also involved in a t...”

About the author

£18 /hr

David-Ruben S.

Degree: Mathematical Physics (Masters) - Edinburgh University

Subjects offered: Physics, Maths+ 1 more

Physics
Maths
German

“Hello, my name is David, I’m studying Mathematical Physics at the University of Edinburgh. I have been studying in Edinburgh for 3 years. I’m from Germany, I’ve always liked to go and live abroad, to make new experiences and meet peop...”

MyTutor guarantee

You may also like...

Posts by David-Ruben

A sequence is defined by the recurrence relation u(n+1) = 1/3 u(n) + 10 with u(3) = 6 . Find the value of u(4) and the limit of the sequence.

Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7

Other GCSE Physics questions

Can you explain what the flux of a light source is?

What is the difference between speed and velocity?

Do batteries contain current, which comes out when they are in a circuit?

How fast are geostationary satellites moving?

View GCSE Physics tutors

Cookies:

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

mtw:mercury1:status:ok