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3 years ago

Find the first four terms of the sequence using the recursive formula.

Mathematics

1 answer:

frozen [14]3 years ago

3 0

Answer:

- 3, - 11, - 35, - 107

Step-by-step explanation:

Using the recursive formula with f(1) = - 3 , then

f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11

f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35

f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107

Thus the first four terms are

- 3, - 11, - 35, - 107

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Your payment is $375 per month for 36 months and you made a $2,500 a down payment

eimsori [14]

Answer:

$16,000?

Step-by-step explanation:

375 times 36 is 13500

Add 2500

and you have 1600

thats my guess

5 0

3 years ago

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Evaluate the expression: a(b – c) if a = -8, b = 12, and c = 4

Lelu [443]

A(b-c)
First substitute values
-8(12+4)=
Next, solve using ordering of PEMDAS
-8 (12+4)=
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3 years ago

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Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) f

aksik [14]

the second duckling is wandering by 2.6 units distance than the first duckling .

<u>Step-by-step explanation:</u>

Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:

Let a = (12,5) and b =(13,-8)

The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :

⇒ $D = |b|-|a|$

⇒ $D = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}$

⇒ $D = \sqrt{233} -\sqrt{169}$

⇒ $D =15.26 -13$

⇒ $D =2.6$

Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .

4 0

4 years ago

Jenna sold 63 bracelets at one craft show and 36 and another which expression correctly applies the distributive property to sho

aev [14]

Answer:

C . 63 + 36 = 9(7 + 4)

Step-by-step explanation:

Jenna sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?

63 + 36 = (3)(21) + (9)(4)

63 + 36 = (7)(9) + (12)(3)

63 + 36 = 9(7 + 4)

63 + 36 = 3(21 + 9)

To “distribute” means to divide something or give a share or part of something.

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

To determine the distributive property to show equivalent expression, find the common factors of 63 and 36

63 = 3, 7, 9, 21,

36 = 2, 3, 4, 6, 9, 12, 18,

Common factors of 63 and 36 are 3 and 9

Using 3

3(21 + 12)

Using 9

9(7 + 4)

3(21 + 12) is not one of the options, therefore, 9(7 + 4) is the answer

Option C gives the distributive property

63 + 36 = 9(7 + 4)

63 + 36 = 63 + 36

3 0

3 years ago

Imagine the fire department had to evacuate the 25th floor of an office building. For firefighters to safely reach people at thi

joja [24]

Answer:

Check Explanation

Step-by-step explanation:

Some information required to answer this question is missing, but on a general basis, here goes the carefully researched response.

Majority of popular truck ladders are about 75 to 105 feet long. There are special truck ladders that reach up to 125 feet.

The length of a truck ladder is naturally limited by weight. The weight has to not be too much so that the truck can still move at a good enough speed on the roads. The weight of these ladders are primarily dependent on the strength of the metal used to make them.

At the top of these ladders, on a windy day, eind interference can cause the ladder to move back and forth all over the place, rhereby endamgerimg lives further and using a light material because we want the truck to still be able to move, will not work because light ladders especially, are easily carried by wind.

The 105-foot aerial ladder can reach 7 to 8 floors depending on the height of the floors.

The 25th floor of an office building can be accessed using a ladder that is about 225 ft long and that simply, is not feasible at all to manufacture this ladder considering the required weight and how too far away in the air this ladder would be, there would be little or no control over this.

Hence, a more realistic solution would be an helicopter that is steadied to slowly get people out of that floor.

Also, if the elevators or stairs are still accessible, these are better alternatives than a 225 ft long ladder aiming to reach the 25th floor.

Hope this Helps!!!

4 0

3 years ago

Find the first four terms of the sequence using the recursive formula. ​

Find the first four terms of the sequence using the recursive formula.