2.8 Her ser du de fem forste rektangeltallene. \( \quad \) Tegn rektangeltall nummer 6 . Forklar hvordan mønsteret vokser. Forklar hvorfor det \( n \)-te rektangeltallet \( \left(R_{n}\right) \) kan uttrykkes slik:

1. (10 Puntos) Resolver la siguiente ecuación en diferencias usando la transformada Z. \[ \begin{array}{l}x(n+3)-4 \cdot x(n+1)=3^{n} \\ x(0)=1 \\ x(1)=2 \\ x(1)=3\end{array} \]

Provide the correct IUPAC name for \( \mathrm{Ba}\left(\mathrm{H}_{2} \mathrm{PO}_{4}\right)_{2} \).

Provide the correct IUPAC name for \( \mathrm{SO}_{2} \).

Take a look at the following decimal numbers: 0.5 1 Classify each number as either "terminating/finite" or "infinite". Justify your answer. 2 Express each number as a fraction in the form \( \frac{p}{q} \), where \( p \) and \( q \) are both intege and \( q \neq 0 \). 3 Write down a general rule for how to represent a finite decimal number as a fraction.

Assume the random variable \( X \) has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. \[ P(X>3), n=6, p=0.5 \]