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Harman [31]
4 years ago
10

A recursive rule for a geometric sequence is a1=49;an=3an−1 . What is the explicit rule for this sequence?

Mathematics
2 answers:
Nostrana [21]4 years ago
7 0
The explicit rule for the geometric sequence is in the form,

              an = (a1)^(r -1)

where an is the nth term, a1 is the first term, and r is the common ratio. Substituting the known terms from the given above, we arrive to the explicit form of the sequence which is,

            an = 49^(3 - 1)
pashok25 [27]4 years ago
5 0

Answer:

The correct answer is, 4/9(3^n-1)

Step-by-step explanation:

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Solve each equation and check your solution <br> -3w-4=w+3
denpristay [2]

Answer:

\boxed  {w =  -  \frac{7}{4} }

Step-by-step explanation:

We want to solve the linear equation -3w-4=w+3

We group like terms to get

- 3w - w = 3 + 4

- 4w = 7

Divide both sides by -4

w =  -  \frac{7}{4}

Now let us check

- 3 \times  -  \frac{7}{4}  - 4 =  -  \frac{7}{4}  + 3

\frac{21}{4}  -  \frac{16}{4}  =  -  \frac{7}{4}  +  \frac{12}{4}

\frac{5}{4}  =  \frac{5}{4}

This is true

6 0
3 years ago
If p=4 and q=2, evaluate the following expression:30/p+q​
Gelneren [198K]

Answer:

5

Step-by-step explanation:

Given

\frac{30}{p+q} ← substitute p = 4 and q = 2

= \frac{30}{4+2} = \frac{30}{6} = 5

7 0
3 years ago
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A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Expre
g100num [7]

Answer:

Hydrostatic Force = 35.28KN

Step-by-step explanation:

To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.

Formula for a thin horizontal slice of the triangle the force is;

δF=ρgxwδx

Where w is width of triangle; ρ is density of water and g is acceleration due to gravity

At depth x, the width of the triangle is w=2/3x.

Thus, F = (3,0)∫)ρgxwδx

=(2/3)ρg[(3,0)∫)x²δx]

= integrating, we have;

F = (2/3)ρg[(3³/3) - (0³/3)]

F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN

6 0
4 years ago
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SpyIntel [72]

Answer:

The name of the horse is Friday.

Step-by-step explanation:

Cowboy and his Horse !

7 0
3 years ago
What inverse operation is used to solve the equation? x 2 = 10
Alla [95]

Answer:

5

Step-by-step explanation:

? x 2 = 10

     /2     /2

? =5

6 0
3 years ago
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