Question: If i press a bunch of key sequences like this:

```
/term<cr>

```

and there are five matches on the screen currently, i will have to press `n` five times to see the next search result that is not on the screen. Is there a single key (or two) that I can press to emulate pressing `n` five times in the situation?

Answer: 
You could use Ln to search next instance on the next page and HN to search previous instance on previous page. 
L - Jump to bottom of the screen
H - Jump to the top of the screen

You can map these to any shortcut you want.
n/N support counts, You can use 5n. I recommend to read `:h n`.