notice the first sequence... notice how you get the next term, whatever the current one is, then you add 2 to it, so.. that's your pattern
[tex]
\bf \begin{array}{cccccccc}
r=&0&1&2&3&4&5\\
R=&3&5&7&9&11&13\\\\
&--&--&--&--&--&--\\
&&3+2&5+2&7+2&9+2&11+2
\end{array}[/tex]
now, let's see the 2nd sequence, notice how you get the current term, by using the current term's ordinal value, square it, then add 1 to it, so, that's the pattern
[tex]\bf \begin{array}{ccccccccll}
r=&0&1&2&3&4&5\\
R=&1&2&5&10&17&26\\\\
&--&--&--&--&--&--\\
&0^2+1&1^2+1&2^2+1&3^2+1&4^2+1&5^2+1
\end{array}[/tex]
