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Roman55 [17]
3 years ago
14

A fraction is less than 1. Choose a counterexample that will prove this conjecture false​

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer:

1st option

Step-by-step explanation:

Here we are trying to prove that not all fractions are less than 1. So we have to choose an example in which the fraction is more than 1.

1) \frac{8}{7}  = 1 \frac{1}{7}

This fraction is greater than 1 hence it can prove that the conjecture is false.

2) ½ is lesser than 1 and will not prove that the conjecture is false.

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Which recursive sequence would produce the sequence 8,-35,137,…?
vagabundo [1.1K]

The recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8

<h3>How to determine the recursive sequence that would produce the sequence?</h3>

The sequence is given as:

8,-35,137,…

From the above sequence, we can see that:

The next term is the product of the current term and -4 added to -3

i.e.

Next term = -3 + Current term * -4

So, we have:

T(n + 1) = -3 + T(n) * -4

Rewrite as:

T(n + 1) = -3 - 4T(n)

Hence, the recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8

Read more about recursive sequence at

brainly.com/question/1275192

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