Find the indicated terms in the following sequence whose $n^{th}$ term is $a_n={(-1)}^{n}n; a_3, a_5, a_8$

Find the next five terms of the following sequence:

$a_1=1, a_n=a_{n-1}+2, n\ge 2$.

Find the next five terms of the following sequence:

$a_1=a_2=2, a_n=a_{n-1}-3, n>2$

Find the next five terms of the following sequence:

$a_1=-1, a_n=\frac{a_{n-1}}{n}, n\ge 2$

Find the next five terms of the following sequence:

$a_1=4, a_n=4a_{n-1}+3, n>1$

Write the sequence with $n^{\text{th}}$ term $a_n=3+4n$. Show that the sequence forms $A.P.$