Part of a pattern of numbers is shown in the table below. Express $y$, $s$ and $t$ in terms of

Question

Part of a pattern of numbers is shown in the table below. Express $y$, $s$ and $t$ in terms of $x$. Show that the difference between $xt$ and $ys$ is always $6$. Express $x$ in terms of $n$. Explain why $xy$ would be in column number ${{C}_{5}}$, for any value of $n$. From the above, which column would $ys$ lie in (${{C}_{1}}$, ${{C}_{2}}$, ${{C}_{3}}$, ${{C}_{4}}$, ${{C}_{5}}$, ${{C}_{6}}$)?

Accepted Answer

(a) $y=x+1,s=x+6,t=x+7$. (b) $ys-xt=6$. (c) $x=6n-3$. (d), (e) Column $C_5$.

IP1U7 HOT Q2

IP1U7 HOT Q2

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