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earnstyle [38]
3 years ago
12

Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

a_{n} = - 3a_{n-1}

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence, that is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3

The recursive formula is of the form

a_{n} = ra_{n-1} = - 3a_{n-1}

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Gary and his friends go to see a movie. Gary buys 5 movie tickets and a tub of popcorn for $5.50. If Gary wants to spend more th
Ugo [173]

Silently he crept through jagged thornbushes. Bare feet moved swiftly over hot, arid soil to the edge of a waterhole where the kudu was drinking. The great animal suddenly looked up, spiral horns curving sharply into the endless African sky. Nsue1 did not reach for his pouch of poisoned arrows. He had no heart for killing. This would not be the day he would change his childish boyhood name.

How does paragraph 1 contribute to Nsue’s development?

A.  

It establishes Nsue’s disappointment at not finding a suitable animal to bring to the feast.

B.  

It establishes Nsue’s apprehension of participating in the Festival of the New Moon.

C.  

It establishes Nsue’s desire to become a great storyteller like Gao, the Old One.

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It establishes Nsue’s motivation to find something to take to the feast.

4 0
2 years ago
jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fa
Elanso [62]

Answer:

12.8mph

Step-by-step explanation:

Let 'w' represent her walking speed

->if her jogging speed is 8mph faster than her walking speed

Jogging speed=  w+8

Using the time equation i.e time = dist/speed

For walking when distance is 8miles

time = dist / speed= 8/w hrs

For jogging when distance is 13miles

time = dist / speed= 13/(w+8) hrs

Equating the time

jog time = walk time

13/(w+8) = 8/w

By cross multiplying it

13w = 8w + 64

5w = 64

w=64/5

w=12.8mph

Therefore, 12.8mph is her walking speed.

5 0
3 years ago
The variable z is directly proportional to x, and inversely proportional to y. When x is 4 and y is 13, z has the value 1.230769
Talja [164]

Answer:

Step-by-step explanation:

1.2307692307692.

The first step is to find the proportionality constant.

The formula is

z = kx/y

1.2307692307692 = k * 4/13          Multiply both sides by 13

1.2307692307692 * 13 = 4k

16 = 4*k                                            Divide by 4

k = 16/4

k = 4

=================================

z = k*x/y

x = 9

y = 20

k = 4

z = 4 *9/20

z = 36/20

z = 1.8

7 0
3 years ago
Read 2 more answers
The question has to do with finding the proven with the given and I’m not sure what to do
Oduvanchick [21]

Using the two parallel line theorems we proved that ∠8 ≅ ∠4.

In the given question,

Given: f || g

Prove: ∠8 ≅ ∠4

We using given diagram in proving that ∠8 ≅ ∠4

Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So

∠8≅∠6

Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."

∠6≅∠4

Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."

∠8 ≅ ∠4

Hence, we proved that ∠8 ≅ ∠4.

To learn more about parallel line theorems link is here

brainly.com/question/27033529

#SPJ1

7 0
1 year ago
Read 2 more answers
What is the value of b2 - 4ac for the following equation?<br><br> 2x2 + 3x = -1
andreyandreev [35.5K]
The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.

Start by moving the -1 to the other side, as we need this function to equal zero.

2x^2 + 3x + 1 = 0

This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.

b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1

The value of the discriminant is 1, meaning that two real roots exist for the function described.
7 0
3 years ago
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