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c(n)=(4)/(9)(-3)^(n-1)
What is the
3^("rd ") term in the sequence?

◻

$c(n)=\frac{4}{9}(-3)^{n-1}$ $\newline$ What is the $3^{\text {rd }}$ term in the sequence? $\newline$ $\square$

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Calculus

Relative maxima or minima

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More problems from Relative maxima or minima

Question

Which of the following is an equation of the line in the

x y

-plane with

x

intercept

-\frac{2}{7}

and

y

-intercept

\frac{8}{7}

\newline

Choose

1

answer:

\newline

(A)

7 y-28 x=

\newline

(B)

7 y+28 x=8

\newline

(c)

-7 y+28 x=8

\newline

- INCORRECT (SELECTED)

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Posted 4 months ago

Question

The circle has center

O

, and the measure of angle

P O Q

135^{\circ}

. The length of minor arc \overparen{P Q} is what fraction of the circumference of the circle?

\newline

(The number of degrees of arc in a circle is

360

\newline

Choose

1

answer:

\newline

(A)

\frac{3}{8}

\newline

(B)

\frac{3}{5}

\newline

(c)

\frac{2}{3}

\newline

(D)

\frac{3}{4}

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Posted 4 months ago

Question

Complete the following statement. Use the integers that are closest to the number in the middle.

\newline

\square

\newline

<\sqrt[3]{-6}<

\newline

\square

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Posted 4 months ago

Question

10

. What is the area of the shaded region of the figure below?

\newline

8

\newline

1 y d^{2}=

\newline

=65 y

\newline

16 \mathrm{yd}^{2}

\newline

65 \mathrm{yd}^{2}

\newline

81 \mathrm{yd}^{2}

\newline

1

97 y^{2}

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Posted 4 months ago

Question

\left\{\begin{array}{l} \frac{2}{y-7 x}-\frac{3}{x+3 y}=12 \\ \frac{9}{y-7 x}-\frac{1}{x+3 y}=17 \end{array}\right.

\newline

Which of the following substitutions will make both equations linear?

\newline

Choose

1

answer:

\newline

(A)

p=\frac{1}{y-7 x}

and

q=\frac{1}{x+3 y}

\newline

(B)

p=y-7 x

and

q=x+3 y

\newline

(c)

p=\frac{1}{7 x}

and

q=\frac{1}{3 y}

\newline

(D) No substitution will work here.

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Posted 3 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

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Posted 2 days ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$500

and her balance at the end of three years,

\$546.36

. At what rate

r

did Jeanne earn interest?

\newline

546.36 = 500(1 + r)

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Posted 2 days ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$ 350

and her balance at the end of three years,

\$ 422.78

. At what rate r did Jeanne earn interest?

\newline

422.78=350(1+r)^{3}

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Posted 2 days ago

Question

A leaky

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

at a constant speed with a rope that weighs

0.6\, \text{kg/m}

. Initially the bucket contains

42\, \text{kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\, \text{m}

level. How much work is done? (Use

9.8\, \text{m/s}^2

for

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

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Posted 2 days ago

Question

A leaky

10-\mathrm{kg}

bucket is lifted from the ground to a height of

14

m at a constant speed with a rope that weighs

0.6 \mathrm{~kg} / \mathrm{m}

. Initially the bucket contains

42

kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14-\mathrm{m}

level. How much work is done? (Use

9.8 \mathrm{~m} / \mathrm{s}^{2}

for g .)

\newline

Show how to approximate the required work (in J) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_{i}^{* *}

x_{i}

)

\newline

\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(\boxed{98+35.28 x_{i}}\right) \Delta x

\newline

Express the work (in J) as an integral in terms of

x

(in m).

\newline

\int_{0}^{14}(98+35.28 x

\newline

Evaluate the integral (in J). (Round your answer to the nearest integer.)

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Posted 2 days ago

View all (6)

c(n)=49(−3)n−1c(n)=\frac{4}{9}(-3)^{n-1}c(n)=94​(−3)n−1\newlineWhat is the 3rd 3^{\text {rd }} 3rd term in the sequence?\newline□ \square □

$c(n)=\frac{4}{9}(-3)^{n-1}$ $\newline$ What is the $3^{\text {rd }}$ term in the sequence? $\newline$ $\square$