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Fofino [41]
2 years ago
9

Soaring Eagles Corp. has total current assets

Mathematics
1 answer:
Andrej [43]2 years ago
6 0

Answer:

1000

Step-by-step explanation:

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Consider the following recursively defined sequence a1 = 2 an = an-1 – 3 for n &gt;= 2 In this question, we will prove that an =
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Answer with Step-by-step explanation:

We are given that

a_1=2

a_n=a_{n-1}-3 for for  [tex]n\geq2

We have to prove that a_n=-3n+5 for all n equal and greater than 1

proof: Let P(n)=a_n=-3n+5 for all n equals to and greater than 1

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Induction step : suppose that P(n) is true for n=k where k greater than 1

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Now, we shall prove that for n=k+1, P(n) is true for n=k+1

P(k+1)=-3(k+1)+5

P(k+1)=-3k-3+5=-3k+5-3

P(k+1)=a_k-3

a_{k+1}=a_k-3

We are given that a_n=a_{n-1}-3 for n equal to and greater than 2

Therefore, P(n) is true for n=k+1

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