Help please...

1) Use the method of mathematical induction to prove that $\displaystyle 4^n + 14 $ is a multiple of 6 for n$\displaystyle \geq$ 1

2) For positive integers n and r, with r $\displaystyle \lesthn$ n, show that

$\displaystyle \left(\begin{array}{cc}n\\r\end{array}\right)$ $\displaystyle \left(\begin{array}{cc}n\\r+1\end{array}\right)$ $\displaystyle = \left(\begin{array}{cc}n+1\\r+1\end{array}\right)$

where$\displaystyle \left(\begin{array}{cc}n\\r\end{array}\right) = \frac{n!}{r! (n-r)!}$ , do not use induction