Complete the following number patterns and state the rule: a) 78; 84; 90; 96; ; . b) 2; 8; 32; 128; ; .

Umyalelo kukudibanisa u 6 kwinani ngalinye.

Amanani alandelayo ngu 102 no 108.

a) 78; 84; 90; 96; $\boxed{102}$; $\boxed{108}$; Rule is $\boxed{\text{Add 6}}$

b) Step 1: Fumana umlinganiselo phakathi kwamanani alandelelanayo.

Umlinganiselo olungaguqukiyo ngu 4.

Umyalelo kukuphinda-phinda ngo 4 inani ngalinye.

Amanani alandelayo ngu 512 no 2048.

b) 2; 8; 32; 128; $\boxed{512}$; $\boxed{2048}$; Rule is $\boxed{\text{Multiply by 4}}$

1.2 Based on this information, how many kilometres can Xolile expect to drive until the petrol tank is completely empty?

Jonga itheyibhile:
Xa iqhube i $40 \text{ km}$, ipetroli yehla nge $60 - 56 = 4 \text{ litres}$.
Xa iqhube i $80 \text{ km}$, ipetroli yehla nge $60 - 52 = 8 \text{ litres}$.
Oku kuthetha ukuba i $4 \text{ litres}$ zisetyenziswa kwi $40 \text{ km}$.

Ukuba i $4 \text{ litres}$ zihamba i $40 \text{ km}$, ngoko ke i $1 \text{ litre}$ ihamba:

Itanki epheleleyo inee $60 \text{ litres}$.
Inani leekhilomitha = Inani leelitha $\times$ iikhilomitha ngelitha

Xolile can expect to drive $\boxed{600 \text{ km}}$ until the petrol tank is completely empty.

Activity 2
Ulwazi olunikwe kwi-Activity 2 luchaza indlela uYolanda alungiselela ngayo iitafile kunye nenani labantu abanokuhlala kuzo. Umbuzo ngokwawo awubonakali kwifoto.

Nangona kunjalo, singakwazi ukuchonga ipatheni:

• Itafile e-1: Abantu aba-4
• Iitafile ezi-2: Abantu aba-6
• Iitafile ezi-3: Abantu aba-8
• Iitafile ezi-4: Abantu aba-10

Ipatheni yomthetho wokuhlala ngolu hlobo:
Inani labantu = $(2 \times \text{inani leetafile}) + 2$
Okanye, $P = 2N + 2$, apho u $P$ linani labantu kwaye u $N$ linani leetafile.