For Exercises 4-16, use inductive reasoning to find the next two terms in each sequence, insertyour sketches for 12, 14, and 16.

4) For this sequence, what we have to do is express all the terms with the denominator equal to 6
[tex]\begin{gathered} \frac{1}{6} \\ \frac{2}{6}\to\frac{1}{3} \\ \frac{3}{6}\to\frac{1}{2} \\ \frac{4}{6}\to\frac{2}{3} \\ \frac{5}{6} \\ \frac{6}{6}\to1 \end{gathered}[/tex]Then the 2 values that follow the sequence are:
[tex]\frac{5}{6}\text{ , 1}[/tex]5) For this sequence we can see that we only have to add the consecutive numbers:
[tex]\begin{gathered} 0+1=1 \\ 1+2=3 \\ 3+3=6 \\ 6+4=10 \\ 10+5=15 \\ 15+6=21 \\ 21+7=28 \\ 28+8=36 \end{gathered}[/tex]Then the 2 values that follow the sequence are:
[tex]28,36[/tex]6) For this sequence we can see that the consecutive numbers are squared:
[tex]\begin{gathered} 1^2\to1 \\ 2^2\to4 \\ 3^2\to9 \\ 4^2\to16 \\ 5^2\to25 \\ 6^2\to36 \\ 7^2\to49 \\ 8^2\to64 \end{gathered}[/tex]Then the 2 values that follow the sequence are:
[tex]49,64[/tex]