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2 years ago

6

Gustavo and yuki were asked to find an explicit formula for the sequence 19, 0, -19, -38...

1 answer:

KiRa [710]2 years ago

4 0

Answer:

<h2>Neither Gustavo nor Yuki</h2>

Step-by-step explanation:

It's an arithmetic sequence.

$0-19=-19\\-19-0=-19\\-38-(-19)=-38+19=-19$

The difference is constant.

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

Substitute:

$a_1=19,\ d=-19$

$a_n=19+(n-1)(-19)$ <em>use distributive property</em>

$a_n=19-19n+19\\\\a_n=(19+19)-19n\\\\a_n=38-19n$

You might be interested in

How do you solve this equation

quester [9]

Well consecutive means in a row, or one number after the other (for ex. 1,2,3,4). And for this equation it's asking for 4 consecutive numbers of which the sum is -26. To get this you just need to go on a calculator and just try some consecutive numbers, you'll get it pretty quickly. The answer is -5,-6,-7,-8. The sum of those numbers is -26.

Hope this helps!

8 0

2 years ago

Find the Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables. If x = f(u, v, w), y = g(u, v, w), and z = h(u, v

jeyben [28]

Answer:

The Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables

= -3072uv

Step-by-step explanation:

<u>Step :-(i)</u>

Given x = 1 6 (u + v) …(i)

Differentiating equation (i) partially with respective to 'u'

$\frac{∂x}{∂u} = 16(1)+16(0)=16$

Differentiating equation (i) partially with respective to 'v'

$\frac{∂x}{∂v} = 16(0)+16(1)=16$

Differentiating equation (i) partially with respective to 'w'

$\frac{∂x}{∂w} = 0$

Given y = 1 6 (u − v) …(ii)

Differentiating equation (ii) partially with respective to 'u'

$\frac{∂y}{∂u} = 16(1) - 16(0)=16$

Differentiating equation (ii) partially with respective to 'v'

$\frac{∂y}{∂v} = 16(0) - 16(1)= - 16$

Differentiating equation (ii) partially with respective to 'w'

$\frac{∂y}{∂w} = 0$

Given z = 6uvw ..(iii)

Differentiating equation (iii) partially with respective to 'u'

$\frac{∂z}{∂u} = 6vw$

Differentiating equation (iii) partially with respective to 'v'

$\frac{∂z}{∂v} =6 u (1)w=6uw$

Differentiating equation (iii) partially with respective to 'w'

$\frac{∂z}{∂w} =6 uv(1)=6uv$

<u>Step :-(ii)</u>

The Jacobian ∂(x, y, z)/ ∂(u, v, w) =

$\left|\begin{array}{ccc}16&16&0\\16&-16&0\\6vw&6uw&6uv\end{array}\right|$

Determinant 16(-16×6uv-0)-16(16×6uv)+0(0) = - 1536uv-1536uv

= -3072uv

<u>Final answer</u>:-

The Jacobian ∂(x, y, z)/ ∂(u, v, w) = -3072uv

6 0

2 years ago

Find the standard deviation of 36,18,12,10 and 9

babunello [35]

The standard deviation of 36,18,12,10 and 9 is 10

6 0

2 years ago

I make $348 a week at my new job. what is my yearly salary?

rosijanka [135]

Answer:

$18,096 a year

Step-by-step explanation:

There are around 52 weeks in a year. You make $348 a week.

52 x 348 = $18,096

3 0

2 years ago

Read 2 more answers

What is the the correct order for least to greatesed in these fractions,5/6,7/12 and 3/4

scZoUnD [109]

Answer:

7/12 3/4 5/6

Step-by-step explanation:

6 0

2 years ago