re-occuring dream of spider

I do not usually dream (only on the odd occasion) but during the last year I have had 3 similar dreams which feel very real and have a big impact on me:

Dream 1 - I see a large (oversized) spider on the wall to my right, I slowly edge out of bed because I am scared and turn on the light but to see that there is nothing there. I feel awake through the whole thing and I awake and out of bed staring at the wall confused.

Dream 2 was similar but was a large flying insect directly above me - the silver transparent wings were very large and clear, once again I got out of bed and turned on the light to find nothing.

I then had the 3rd dream last night, a spider (daddy long legs this time and reasonably large) was on the wall behind my head, I rolled over quickly and turned on the light to realise there was no spider and that I must have been dreaming again.

I feel scared when I am out of bed and my heart is pumping, then I try to get back to sleep again.

As this dream feels so real and actually gets me out of bed I feel that it is very significant and your help is much appreciated.

Thanks