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2 years ago

Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

7 0

Answer:

0, -1, 1, 1, 1

Step-by-step explanation:

Given recursive formula

a₁ = 0
aₙ = 2(aₙ₋₁)² - 1, for n>1

The first 5 terms are:

a₁ = 0
a₂ = 2(0)² - 1 = 0 - 1 = -1
a₃ = 2(-1)² - 1 = 2 - 1 = 1
a₄ = 2(1)² - 1 = 2 - 1 = 1
a₅ = 2(1)² - 1 = 2 - 1 = 1

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Ray Of Light [21]

Answer:

k = 5,

y = 5x

Step-by-step explanation:

If y is proportional to x,

y ∝ x

Then the equation will be

y = kx

Her k = proportionality constant.

Now we choose a point from the given table.

Let the point is (2, 10).

By putting the values of x and y in the equation,

10 = 2×k

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2 years ago

Find the increase in price of a single piece of design, when crafts design price is increased by 45% which makes a buyer to buy

Volgvan

Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50

Step-by-step explanation:

Let x represent the original price, then

8x(1.45) < $500

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Increase is 0.45x

0.45($43.10)

= $19.40

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3 years ago

What is the value of x? 40° (6x + 2)

Anvisha [2.4K]

Answer:

x = 8

Step-by-step explanation:

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40+ 2 + 6x = 90

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3 years ago

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2nd question :) please help quick

marysya [2.9K]

Answer:

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2 years ago

The revenue R you receive for selling pizza slices depends on the price p that you charge per slice and is modeled by R =-16p

sp2606 [1]

Answer:

$p \geq 0$

Step-by-step explanation:

Given

$R(p) = -16p^2 + 80p + 5$

Required

Determine the domain of the function

To do this, we need to solve for the vertex, p of the function

$p= \frac{-b}{2a}$

Given the the general form of a quadratic function is:

$y = ax^2 + bx + c$

By comparison, we have:

$a = -16$ $b =80$ $c = 5$

So:

$p= \frac{-b}{2a}$

$p = \frac{-80}{-16 * 5}$

$p = \frac{-80}{-80}$

$p = 1$

Substitute 1 for p in $R(p) = -16p^2 + 80p + 5$

$R(1) = -16(1)^2 + 80(1) + 5$

$R(1) = -16 + 80 + 5$

$R(1) = 69$

This implies that

$(p, R) = (1,69)$

The interpretation of this is that;

For every value of p, there's a corresponding value of R.

However, because p indicates price and it's impossible to have a negative price, we can say that the minimum value of p is 0;

Hence, the domain is

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2 years ago

Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1​

Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1