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ipn [44]
3 years ago
6

Find the first six terms of the sequence described by the following recursive formula: an = an – 1 + an – 2 where a3 = -5 and a4

= 3
Mathematics
1 answer:
solmaris [256]3 years ago
5 0

Answer:

Now we have:  -13, 8, -5, 3, -2, 1

Step-by-step explanation:

This is a Fibonacci sequence.

though modified.

so  a_n = a_(n-1) + a_(n-2)

with a_3 = -5,

a_4 = 3

a_3 = -5 = a_2 + a_1

a_4 = 3 = a_3 + a_2 = -5 + a_2

then   a_2 = 3 + 5 = 8

then.

a_3 = -5 = a_2 + a_1 = 8 + a_1

a_1 = -5 - 8 = -13

We now have:   -13, 8, -5, 3, ....

Now we can find  a_5  and a_6

a_5 = a_4 + a_3 = 3 + -5 = -2

a_6  = a_5 + a_4 = -2 + 3 = 1

Now we have:  -13, 8, -5, 3, -2, 1

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3 years ago
Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the equation of the line con
almond37 [142]

Answer:

y=-x+r

Step-by-step explanation:

we know that

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The tangency point on the y-axis is  (0,r)

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Remember that the equation of the line into slope intercept form is equal to

y=mx+b

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4 0
3 years ago
There are 20 small tropical fish swimming in a 55-gallon aquarium. What is the population density?
umka21 [38]

Answer:

The population density is 0.364 fish per gallon.

Step-by-step explanation:

The population density can be defined as the number of individuals (in this case, small tropical fish) per unit of area or volume. In this case, the volume of the aquarium (55 gallon).

The density can be calculated then as:

d=\dfrac{P}{V}=\dfrac{20\;\text{fish}}{55\;\text{gal}}\approx0.364\dfrac{\text{fish}}{\text{gal}}

The population density is 0.364 fish per gallon.

5 0
3 years ago
I will MARK CROWN JUST NEED HELP
Ivan
Its D, just read the graph buddy
6 0
3 years ago
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I need help please.
vampirchik [111]

Answer:

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3 years ago
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