There are two sequences I am unable to solve and any help on this matter would be appreciated.
1,3,15,105,945,10395
2,4,16,256,65536,4294967296
Note here that:
1*3 = 3
3*5 = 15
15*7 = 105
105*9 = 945
945*11 = 10395
So we can say that if $\displaystyle a_1=1$, then $\displaystyle a_{n+1}=(2n+1)a_n$
Does this make sense?
Note here that2,4,16,256,65536,4294967296
$\displaystyle 2^1=2$
$\displaystyle 2^2=4$
$\displaystyle 4^2=16$
$\displaystyle 16^2=256$
$\displaystyle 256^2=65536$
$\displaystyle 65536^2=4294967296$
Thus, if $\displaystyle a_1=2$, then $\displaystyle a_{n+1}=(a_n)^2$
Does this make sense?