Hi Kui Chen,

There are probably multiple ways one can do it, using NestList or other functions. I guess FoldList is the easiest in this case:

FoldList[#1^2 + #2 &, x, Range[1, Sqrt[10]]]

this will however not print it, but rather store it in a list. You could add Print/@% on the next line to print each of them.

aagh! I didn't see Erik's answer.

No problem, Sander. I just opened the community site this morning and saw this easy question. I admire and follow your valuable contributions to this site and I am learning a lot this way. Thanks...

Posts on Community appear with some delay relatively to email notification. But any reply will be there in a mater of minutes, rarely within a bit longer time if site is loaded. We are trying to improve this. But posts eventually will appear always.

Thank you very much! I am now studying Mathematica and want to use it in my mathematics research (especially machine learning and numerical analysis). Thank you again!

@Erik Mahieu @Vitaliy Kaurov

I got an email from your reply, but don't see it here yet, also in an incognito tab, there seems to be something wrong with the Wolfram Community...

EDIT: now that I posted this, yours becomes visible!