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4 years ago

A recursive rule for an arithmetic sequence is a1=-4 an=4+a (n-1) What is the 4th term?

Mathematics

1 answer:

Lera25 [3.4K]4 years ago

8 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}a_1=-4\\a_n=4+a_{n-1}\end{array}\right\\\\a_2=4+a_1\to a_2=4+(-4)=4-4=0\\\\a_3=4+a_2\to a_3=4+0=4\\\\a_4=4+a_3\to a_4=4+4=8$

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Answer: The correct answer is B.

Step-by-step explanation:

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3 years ago

A cube has a volume of 64 cm3. What is the length of a side of a cube

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4 years ago

Use the power rules for exponents to simplify the expression

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3 years ago

A carpenter has a piece of wood that is 10 yards long anda piece that is 5 feet long. how many feet of wood does the carpenter h

stellarik [79]

A piece of wood 10 yards long

and

A piece of wood 5 feet long

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6 0

3 years ago

What is Xavier’s available lot coverage?

slavikrds [6]

Answer:

Step-by-step explanation:

<h3>At first:</h3>

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore, 

Area of the trapezoid

$= \frac{a + b}{2} c$

[On putting the values]

$= \frac{175 + 185}{2} \times 100$

[On Simplification]

= 360 × 50

[On multiplying]

= 18000

Hence,

We got the Total Area as 18000.

As per given equation,

$\frac{40}{100} = \frac{x}{total \: area}$
To find the value of x

Solution ,

$= > \frac{40}{100} = \frac{x}{total \: area}$

[On putting Total Area = 18000]

$= > \frac{40}{100} = \frac{x}{18000}$

[On cross multiplication]

=> 40 × 18000 = 100 × x

[On Simplification ]

=> 720000 = 100x

[On dividing both sides with 100]

$= > \frac{720000}{100} = \frac{100x}{100}$

[On Simplification ]

=> x = 7200

Hence,

Xavier's avaliable lot coverage (x) = 7200 (Ans)

7 0

3 years ago