How can I stop caculate value of recursive sequence?

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I want to list five terms of a sequence $(u_n)$ with $u_1 = 0$ and $u_n+1= sqrt1 + u_n$. but I don't want to reduce them.
My code

Clear[u];
u[1] := 0;
u[y_] := Sqrt[1 + u[y - 1]]
A = Table[u[k], k, 1, 5]

and got
$left0,1,sqrt2,sqrt1+sqrt2,sqrt1+sqrt1+sqrt2right$
I want to $u_3 = sqrt1 + sqrt1$, $u_4 = sqrt1 + sqrt1+ sqrt1 $.

How to get the form like that?

output-formatting

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edited 52 mins ago

asked 1 hour ago

minhthien_2016

415310

add a comment | 

up vote
2
down vote

favorite

I want to list five terms of a sequence $(u_n)$ with $u_1 = 0$ and $u_n+1= sqrt1 + u_n$. but I don't want to reduce them.
My code

Clear[u];
u[1] := 0;
u[y_] := Sqrt[1 + u[y - 1]]
A = Table[u[k], k, 1, 5]

and got
$left0,1,sqrt2,sqrt1+sqrt2,sqrt1+sqrt1+sqrt2right$
I want to $u_3 = sqrt1 + sqrt1$, $u_4 = sqrt1 + sqrt1+ sqrt1 $.

How to get the form like that?

output-formatting

share|improve this question

edited 52 mins ago

asked 1 hour ago

minhthien_2016

415310

add a comment | 

up vote
2
down vote

favorite

up vote
2
down vote

favorite

I want to list five terms of a sequence $(u_n)$ with $u_1 = 0$ and $u_n+1= sqrt1 + u_n$. but I don't want to reduce them.
My code

Clear[u];
u[1] := 0;
u[y_] := Sqrt[1 + u[y - 1]]
A = Table[u[k], k, 1, 5]

and got
$left0,1,sqrt2,sqrt1+sqrt2,sqrt1+sqrt1+sqrt2right$
I want to $u_3 = sqrt1 + sqrt1$, $u_4 = sqrt1 + sqrt1+ sqrt1 $.

How to get the form like that?

output-formatting

share|improve this question

edited 52 mins ago

asked 1 hour ago

minhthien_2016

415310

I want to list five terms of a sequence $(u_n)$ with $u_1 = 0$ and $u_n+1= sqrt1 + u_n$. but I don't want to reduce them.
My code

Clear[u];
u[1] := 0;
u[y_] := Sqrt[1 + u[y - 1]]
A = Table[u[k], k, 1, 5]

and got
$left0,1,sqrt2,sqrt1+sqrt2,sqrt1+sqrt1+sqrt2right$
I want to $u_3 = sqrt1 + sqrt1$, $u_4 = sqrt1 + sqrt1+ sqrt1 $.

How to get the form like that?

output-formatting

output-formatting

share|improve this question

edited 52 mins ago

asked 1 hour ago

minhthien_2016

415310

share|improve this question

edited 52 mins ago

asked 1 hour ago

minhthien_2016

415310

share|improve this question

share|improve this question

edited 52 mins ago

edited 52 mins ago

edited 52 mins ago

asked 1 hour ago

minhthien_2016

415310

asked 1 hour ago

minhthien_2016

415310

asked 1 hour ago

minhthien_2016

415310

415310

add a comment | 

add a comment | 

2 Answers
2

active

oldest

votes

up vote
4
down vote



accepted

You can change

u[1] := 1;

to

u[1] := HoldForm[1];

The resulting expression will stay in the form you requested. However, it will not be suitable for computations. It is only usable for display purposes. To make it work for calculations again, apply ReleaseHold.

share|improve this answer

answered 58 mins ago

Szabolcs

153k13417900

add a comment | 

up vote
2
down vote

One can also use NestList

NestList[Sqrt[1 + #] &, HoldForm@0, 4]

share|improve this answer

answered 39 mins ago

Αλέξανδρος Ζεγγ

1,892721

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2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
4
down vote



accepted

You can change

u[1] := 1;

to

u[1] := HoldForm[1];

The resulting expression will stay in the form you requested. However, it will not be suitable for computations. It is only usable for display purposes. To make it work for calculations again, apply ReleaseHold.

share|improve this answer

answered 58 mins ago

Szabolcs

153k13417900

add a comment | 

up vote
4
down vote



accepted

You can change

u[1] := 1;

to

u[1] := HoldForm[1];

The resulting expression will stay in the form you requested. However, it will not be suitable for computations. It is only usable for display purposes. To make it work for calculations again, apply ReleaseHold.

share|improve this answer

answered 58 mins ago

Szabolcs

153k13417900

add a comment | 

up vote
4
down vote



accepted

up vote
4
down vote



accepted

You can change

u[1] := 1;

to

u[1] := HoldForm[1];

The resulting expression will stay in the form you requested. However, it will not be suitable for computations. It is only usable for display purposes. To make it work for calculations again, apply ReleaseHold.

share|improve this answer

answered 58 mins ago

Szabolcs

153k13417900

You can change

u[1] := 1;

to

u[1] := HoldForm[1];

The resulting expression will stay in the form you requested. However, it will not be suitable for computations. It is only usable for display purposes. To make it work for calculations again, apply ReleaseHold.

share|improve this answer

answered 58 mins ago

Szabolcs

153k13417900

share|improve this answer

share|improve this answer

answered 58 mins ago

Szabolcs

153k13417900

answered 58 mins ago

Szabolcs

153k13417900

answered 58 mins ago

Szabolcs

153k13417900

153k13417900

add a comment | 

add a comment | 

up vote
2
down vote

One can also use NestList

NestList[Sqrt[1 + #] &, HoldForm@0, 4]

share|improve this answer

answered 39 mins ago

Αλέξανδρος Ζεγγ

1,892721

add a comment | 

up vote
2
down vote

One can also use NestList

NestList[Sqrt[1 + #] &, HoldForm@0, 4]

share|improve this answer

answered 39 mins ago

Αλέξανδρος Ζεγγ

1,892721

add a comment | 

up vote
2
down vote

up vote
2
down vote

One can also use NestList

NestList[Sqrt[1 + #] &, HoldForm@0, 4]

share|improve this answer

answered 39 mins ago

Αλέξανδρος Ζεγγ

1,892721

One can also use NestList

NestList[Sqrt[1 + #] &, HoldForm@0, 4]

share|improve this answer

answered 39 mins ago

Αλέξανδρος Ζεγγ

1,892721

share|improve this answer

share|improve this answer

answered 39 mins ago

Αλέξανδρος Ζεγγ

1,892721

answered 39 mins ago

Αλέξανδρος Ζεγγ

1,892721

answered 39 mins ago

Αλέξανδρος Ζεγγ

1,892721

1,892721

add a comment | 

add a comment | 

 

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