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DIA [1.3K]
3 years ago
11

What is the 7th term in this fibonacci sequence 1, 1,2,3,5,8​

Mathematics
2 answers:
Lemur [1.5K]3 years ago
5 0

Answer:

<h2>13</h2>

Step-by-step explanation:

\text{The Fibonacci sequence:}\\\\F_n=F_{n-2}+F_{n-1},\ \text{for}\ n>2\\\\F_1=1,\ F_2=1\\\\F_3=F_1+F_2\to F_3=1+1=2\\\\F_4=F_2+F_3\to F_4=1+2=3\\\\F_5=F_3+F_4\to F_5=2+3=5\\\\F_6=F_4+F_5\to F_6=3+5=8\\\\F_7=F_5+F_6\to F_7=5+8=13\\\vdots

\text{Each subsequent term in the sequence is created by adding the previous two terms.}

True [87]3 years ago
3 0

Answer:

13

Step-by-step explanation:

To obtain a term in a Fibonacci sequence, add the previous 2 terms, thus

7 th term = 8 + 5 = 13

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The Singapore Flyer is a giant observation
Law Incorporation [45]

Answer:

28

Step-by-step explanation:

Let x be the number of capsules on the Singapore Flyer.

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Therefore x^2 = 784.

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8 0
3 years ago
4√(-81)+6√(-36)<br> (simplify your answer))
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3 0
3 years ago
Which of the following equations describes the line shown below? Check all<br> that apply.
scoundrel [369]

Answer:

B. y = 2x - 2

E. y + 4 = 2(x + 1)

F. y - 6 = 2(x - 4)

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form y - b = m(x - a)

Thus:

y - 6 = 2(x - 4)

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form y - b = m(x - a)

Thus:

y - (-4) = 2(x - (-1))

y + 4 = 2(x + 1)

✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2

6 0
3 years ago
Can someone please help me solve and simplify this??
Viefleur [7K]

Answer:

The Answer is -x + 3.

Step-by-step explanation:

It's honestly one of the longest process'. Above is the right answer though. Hope it helped.

7 0
3 years ago
Solve for all values of x by factoring.<br> x^2 + 4x – 30 = -3x
vichka [17]

Answer:

{x}^{2}  + 4x - 30 =  - 3x \\{x}^{2}  + 7x - 30 = 0 \\  {x}^{2}  - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\  \boxed{x = 3} \\  \boxed{x =  - 10}

<h3><em><u>x=3 or x=-10</u></em> is the right answer.</h3>

7 0
3 years ago
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