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3 years ago

2.)Which sequences could be described by the recursive definition LaTeX: a_{n+1}=3\cdot a_n-1a n + 1 = 3 ⋅ a n − 1

Mathematics

1 answer:

Veronika [31]3 years ago

8 0

100% CORRECT ANSWERS

Question 1

Consider the sequence:

8, 11, 14, 17, 20, 23, 26, ...

Write a recursive definition.

Question 2

Which sequences could be described by the recursive definition

2, 5, 14, 41, 122...

Question 3

Given that the first term is and the recursive definition is would be the 2nd term

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What is the solution of quadratic system of equations ?

kobusy [5.1K]

Answer:

(- 1, 1) and (- 5, - 35)

Step-by-step explanation:

since both equations express y in terms of x, equate the right sides

x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )

2x² + 12x + 10 = 0 ( divide all terms by 2 )

x² + 6x + 5 = 0 ← in standard form

(x + 1)(x + 5) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 5 = 0 ⇒ x = - 5

substitute these values into either of the 2 equations and solve for y

x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )

x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )

None of the given options

8 0

3 years ago

Can anyone help with this question pleasee

Vladimir [108]

Answer:

$y = 1$

Step-by-step explanation:

Given:

$a^{3y - 5} = \frac{1}{a^2}$

Apply the negative exponent rule

$a^{3y - 5} = a^{-2}$

The bases will cancel each other

$3y - 5 = -2$

$3y - 5 + 5 = -2 + 5$

$3y = 3$

$\frac{3y}{3} = \frac{3}{3}$

$y = 1$

7 0

3 years ago

Can I get some help? Please show your work! Thanks!

kirill [66]

Hey there,

Your question states: You have a 332 feet fencing to enclose a rectangular region. What is the maximum area.

Your correct answer would be 6,889.

Reason/explanation:

The formula that we would use is $P = 2l+2w$

$f(x)=ax^{2} +b*x+c$

$L=166=-W\\ L=83$
_____________________________________________________________

So by this, now that we know that $L=83$

We do . . . 83 × 83. . .

And you final answer would be Option A.) 6,889

Hope this helps you!

~Jurgen

6 0

3 years ago

Read 2 more answers

2. Alayna draws 18 more stars than Pearl. Alayna draws © Assessment 37 stars. How many stars does Pearl draw? 37718 = 55 Can you

Evgen [1.6K]

Answer:

hvcr;vg;ie

Step-by-step explanation:

8 0

2 years ago

I need help trying to figure this out 20x-4+6x+8

Ostrovityanka [42]

Answer: 2(13x+2)

Step-by-step explanation:

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2 years ago