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Anestetic [448]
4 years ago
15

In a fibonacci sequence the fourth term is 30 and the fifth is 49 what is the first term

Mathematics
1 answer:
scoundrel [369]4 years ago
7 0

8 is the first.

Reasoning:

So we know what the Fibonacci sequence is. To get the next number, you add the number behind it, by the number behind that.

For example, these are the first 5 Fibonacci numbers.

1, 1, 2, 3, 5.

1 + 0 = 1.

So 1 is the second number.

1 + 1 is 2.

So 2 is the third number.

2 + 1 = 3.

So 3 is the fourth number.

3 + 2 = 5.

So 5 is the fourth number.

The problem:

If the fifth term is 49, and the fourth term is 30. We can subtract 49 by 30, to find the third number, and so on.

49 - 30 = 19.

So 19 is the third number.

30 - 19 = 11.

11 is the second.

19 - 11 = 8.

8 is the first.

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Step-by-step explanation:

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Suppose y varies directly with x if y=27 when x=3 what is y when x=5
Sindrei [870]

The value of y when x = 5 is 45

<h3><u>Solution:</u></h3>

Given that y varies directly with x. This can be written mathematically as:

y  ∝  x

y = k \times x  ---- eqn 1

Where "k" is the constant of propotionality

Given y = 27 when x = 3. Substitute these values in eqn 1

27 = k \times 3\\\\k = \frac{27}{3} = 9

<h3>k = 9</h3>

Substitute k = 9 in eqn 1

y = 9x ----- eqn 2

<u><em>To find: y = ? and x = 5</em></u>

Substitute x = 5 in eqn 2

y = 9 \times 5 = 45

Thus the value of y when x = 5 is 45

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