Question

5-i, 6,7-i...
squrt5,sqrt10,2sqrt5...
1,1,2,3,5,8
find the indicated s sub n

Answer 1

the 1st sequence seems to be

\[5 - i^n\] where n is the term number

the 2nd is

\[\sqrt{5},\sqrt{10},\sqrt{20}...\]

this looks like \[\sqrt{n \times5}\] where n is the term number

last one is a fibonacci sequence.... easy to google the method...

Answer 2

oops the square root sequence is

\[\sqrt{5} \times \sqrt{2^{n-1}}\] where n is the term number