A. Circle the correct word
» ‘Getting to the Top’ business seminar«
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B. Complete using the correct form of the verbs in the box
import, invest, obtain, own, purchase, save, select, waste
1. It says here that they give you a free glass with every pint of milk you purchase!
2. We’ve decided to invest money in Jake’s new business.
3. Let’s stay in tonight and save our money for the trip next week.
4. Don’t waste all your pocket money on sweets and chocolate.
5. The company has obtained permission to start selling in China.
6. You usually have to pay tax when you import things from other countries.
7. Colin is so rich that he owns four Rolls-Royces!
8. Joan selected a few pairs of jeans and went to try them on.
C. Each of the words in bold is in the wrong sentence. Write the correct word.
1. We don’t usually get that property of washing powder. — brand
2. We can only take the item back if you’ve still got the change. — receipt
3. The best thing about the new shopping centre is that there’s a lot of fee. — sales
4. What’s the design on a French one euro sale? — coin
5. Carter and Sons have got some really good things in the receipt. — variety
6. My mum didn’t like me selling my bike, but she said it was my coin, so it was my decision. — property
7. When we bought the house, we had to pay a huge brand to a lawyer. — fee
8. The taxi driver wasn’t very happy when I told him I didn’t have any variety. — change
День: 13 февраля 2026
Թվաբանական պրոգրեսիա, առաջին N անդամների գումարը
Առաջադրանքներ․
1) Գտե՛ք տրված թվաբանական պրոգրեսիայի տարբերությունը.
ա) 9, 11, 13, …,
d=11-9=2
բ) 1, 0, -1, ….
d=0-1=-1
գ) 3, 7, 11, …,
d=7-3=4
դ) 4, 1, -2, …,
d=1-4=-3
ե) 1, 1.5, 2, …,
d=1.5-1=0.5
զ) 7.5, 6.2, 4.9, …,
d=6.2-7.5=-1.3
2) Տրված է {an} թվաբանական պրոգրեսիայի անդամներից ինչ-որ մեկը և d տարբերությունը: Գտե՛ք պրոգրեսիայի առաջին չորս անդամները.
ա) a1 = 2, d = 5
a2=2+5=7
a3=7+4=11
a4=11+4=15
բ) a1 = 9, d = — 3
a2=9-3=6
a3=6-3=3
a4=3-3=0
գ) a2 = — 2, d = 1.5
a1=-2-1.5=-3.5
a3=-2+1.5=-0.5
a4=-0.5+1.5=1
դ) a3 = — 7, d = — 3.5
a1=-7+(2*(-3.5))=0
a2=0-3.5=-3.5
a4=-7-3.5=-10.5
3)Տրված է {an} թվաբանական պրոգրեսիան։ Հաշվե՛ք.
ա) S12 — ը, եթե a1 = 5, a12 = 35
S12=12*(5+35)/2=240
բ) S9 — ը, եթե a1 = 4, a9 = 28
S9=9*(4+28)/2=144
գ) S17 — ը, եթե a1 = 4, a17 = 45
S17=18*(4+45)/2=416.5
դ) S5 — ը, եթե a1 = 2, a5 = -8
S5=5*(2-8)/2=-15
4) Տրված է {an} թվաբանական պրոգրեսիան։ Հաշվե՛ք.
ա) S10 — ը, եթե a1 = 3, d = 4
S10=10*(6+4(10-1)/2=450
բ) S8 — ը, եթե a1 = 7, d = 1
S8=8*(14+1(8-1)/2=420
գ) S13 — ը, եթե a1 = 4, d = -1
S13=13*(8-1(13-1)/2=546
դ) S5 — ը, եթե a1 = -4, d = 2
S5=5*(8+2(5-1)/2=100
୨ৎ Արփի Փիրումյան 𝜗ৎ 