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Prove that 2^(80)+2^(n+1)+2^n is divisible by 7 for n belongs to the natural number.

We will prove that 2^(n+2)+2^(n+1)+2^n is divisible by 7 using formula to multiply powers with the same base:a^(b) * a^(c) = a^(b+c)Now looking at our expression we can write:2^(n+2) + 2^(n+1) + 2^n = 2^n...

Answered by Maths tutor
3061 Views

Explain why rate of reaction increases when temperature increases.

the reactant particles have more energy, so they move quicker, so there are more frequent successful collisions

IH
Answered by Israel H. Chemistry tutor
2195 Views

Name three non-specific human defences against diseases

skin - acts as a physical barrier; mucus and ciliated cells on mucous membrane in trachea - catch pathogens and sweep them up out of lungs; stomach acid - kills bacteria

IH
Answered by Israel H. Biology tutor
2368 Views

What is the difference between the preterite tense and the imperfect tense?

The preterite tense is used for one-off or completed actions in the past. For example: Visitó España el año pasado. / She visited Spain last year.
The imperfect tense is used for repeated or continu...

KN
Answered by Kate N. Spanish tutor
1959 Views

Odysseus' actions on Circe's island could be described as heroic. Explain why.

When Odysseus and his men arrive on Circe's island, in Book 10, Odysseus immediately sets out, alone, to hunt for food for him and his men without knowing what dangers could face him on the island. In doi...

KN
5003 Views

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