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Help with Sequence question??

Hi, i've revised arithmetic and geometric progression .. and currently stuck on this question

A sequence u1, u2, u3 is defined by

u1:3 and un+1: 1-1/un for n >1

Write down the value of u2, u3 and u4

Here is an image of the question (better to look here)

http://imageshack.us/photo/my-images/508/54721288.jpg/

I just don't get it, i looked in mymaths and can't it there :-(
and these type of question come up a lot!

Thanks
(edited 12 years ago)
Put n=1 and count u2, etc.))
Reply 2
Just put the value of U1=3 into the equation.

That'll give you U2, then put the value of U2 etc etc? I think anyway lol
Reply 3
Actually, i figured it out by checking on youtube!!

Thanks anyway (:
Reply 4
Original post by Abed1993
Hi, i've revised arithmetic and geometric progression .. and currently stuck on this question

A sequence u1, u2, u3 is defined by

u1:3 and un+1: 1-1/un for n >1

Write down the value of u2, u3 and u4

Here is an image of the question (better to look here)

http://imageshack.us/photo/my-images/508/54721288.jpg/

I just don't get it, i looked in mymaths and can't it there :-(
and these type of question come up a lot!

Thanks


This series is given by a recursive form.
un+1=11unu_{n+1}=1-\frac{1}{u_n}
and
u1=3u_1=3

so
u1+1=u2=11u1u_{1+1}=u_2=1-\frac{1}{u_1}
and
u3=11u2u_3=1-\frac{1}{u2}
Reply 5
Original post by ztibor
This series is given by a recursive form.
un+1=11unu_{n+1}=1-\frac{1}{u_n}
and
u1=3u_1=3

so
u1+1=u2=11u1u_{1+1}=u_2=1-\frac{1}{u_1}
and
u3=11u2u_3=1-\frac{1}{u2}


Too cool thanks :smile:

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