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Neko [114]
3 years ago
6

Please help! I am supposed to write a recursive and an explicit function for the geometric sequence but this one is really frust

rating me. Thank you!

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Step-by-step explanation:

Initially, there's only 1 letter.

Tania sends the letter to 4 friends.

Each friend sends a letter to 4 more friends (4 × 4 = 16).

Each of those friends sends to 4 more friends (16 × 4 = 64).

The pattern is 1, 4, 16, 64, etc.

This is a geometric sequence.  The first term is 1 and each term is 4 times the previous term.

a₁ = 1

aₙ = 4 aₙ₋₁

The explicit formula is:

aₙ = 1 (4)ⁿ⁻¹

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Tomtit [17]

Answer:64

Step-by-step explanation:

67

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2 years ago
(-4) (9)<br> -----------<br> (-6)
valkas [14]
6 or -36/-6 if it works
8 0
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Please helppp<br> if the slope of a line is 6 and a line is perpendicular to it, what is its slope?
astra-53 [7]

Answer:

-1/6

Step-by-step explanation:

flip the slope

\frac{6}{1}

becomes

\frac{1}{6}

now the slope is going down so it becomes negative

= -1/6

7 0
3 years ago
Help I gotta hand my homework in tomorrow
zvonat [6]
Simple...

3*10=5*6

2*8=4*4

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3 years ago
Read 2 more answers
Graphing in Point-Slope Form y−y1=m(x−x1) <br> ​<br> Graph the equation y+7=−45(x−4) ?
nevsk [136]

Answer:

<h2>The graph is in the attachment.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - a point on a line</em>

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

We have the equation in a point-slope form:

y+7=-\dfrac{4}{5}(x-4)

y-(-7)=-\dfrac{4}{5}(x-4)

Therefore we have one point: <em>(4, -7)</em><em>.</em>

<em>Convert to the slope-intercept form:</em>

y+7=-\dfrac{4}{5}(x-4)              <em>use the distributive property</em>

y+7=-\dfrac{4}{5}x+\left(-\dfrac{4}{5}\right)(-4)

y+7=-\dfrac{4}{5}x+\dfrac{16}{5}

y+7=-\dfrac{4}{5}x+3\dfrac{1}{5}          <em>subtract 7 from both sides</em>

y=-\dfrac{4}{5}x-3\dfrac{4}{5}

Put <em>x = -1</em><em> </em>to the equation:

y=-\dfrac{4}{5}(-1)-3\dfrac{4}{5}=\dfrac{4}{5}-3\dfrac{4}{5}=-3

Therefore we have the second point <em>(-1, -3)</em>.

3 0
3 years ago
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