Shell script or command help to extract specific contents from a long list of content

Hi,

I got a long list of contents:
>sequence_1
ASSSSSSSSSSSDDDDDDDDDDDCCCCCCC
ASDSFDFFDFDFFWERERERERFSDFESFSFD
>sequence_2
ASDFDFDFFDDFFDFDSFDSFDFSDFSDFDSFASDSADSADASD
ASDFFDFDFASFASFASFAFSFFSDASFASFASFAFS
>sequence_3
VEDFGSDGSDGSDGSDGSDGSDGSDG
dDFSDFSDFSDFSDFSDFSDFSDFSDF
SDGFDGSFDGSGSDGSDGSDGSDGSDG
>sequence_4
VEDFGSDGSDGSDGSDGSDGSDGSDG
dDFSDFSDFSDFSDFSDFSDFSDFSDF
>sequence_5
ASSSSSSSSSSSDDDDDDDDDDDCCCCCCC
>sequence_6
ASDFDFDFFDDFFDFDSFDSFDFSDFSDFDSFASDSADSADASD
.
.
.
.

My desired output extract the sequence_2,5,6 only:
>sequence_2
ASDFDFDFFDDFFDFDSFDSFDFSDFSDFDSFASDSADSADASD
ASDFFDFDFASFASFASFAFSFFSDASFASFASFAFS
>sequence_5
ASSSSSSSSSSSDDDDDDDDDDDCCCCCCC
>sequence_6
ASDFDFDFFDDFFDFDSFDSFDFSDFSDFDSFASDSADSADASD

Do anybody know how I can extract specific contents from a long list of content by using shell script or any command like sed,awk,etc?

Hi Patrick.

I'm struggling to see where this is significantly different to...

Thanks Scottn.
Actually I just feel confusing if I want to extract few contents only from a long list of contents.
The way to solve seems like different with the way we extract only one contents from a long list of contents,right?