All categories

3 years ago

Find the first six terms of the sequence. a1 = -8, an = 5 • an-1

1 answer:

5 0

$a_1 = -8\\
a_n = 5 \cdot a_{n-1 }\\\\
a_2=5\cdot(-8)=-40\\
a_3=5\cdot(-40)=-200\\
a_4=5\cdot(-200)=-1000\\
a_5=5\cdot(-1000)=-5000\\
a_6=5\cdot(-5000)=-25000$

You might be interested in

Plz help!! Given: DE is a midsegment of ABC. Show all work.

topjm [15]

Answer:

AC=14

X=10

Y=1

Hoped this helped!

Step-by-step explanation:

DE is half of BC, therefore x=10. AE and EC have to be the same length, which is 7. SO, y=1 and x is 10.

5 0

2 years ago

Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After on

Sergeeva-Olga [200]

Answer:

I think the answer would be +15.

Step-by-step explanation:

3 0

2 years ago

21. Brian wants to purchase a piece of fabric

ella [17]

Brian should purchase Choice C of fabric

Solution:

Given that Brian wants to purchase a piece of fabric that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

Choice A is $4\frac{3}{4}$ feet long

Let us convert feet to inches

$4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet$

Now convert to inches

We know that,

1 feet = 12 inches

$\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches$

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice B is $4\frac{1}{2}$ feet long

$4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet$

Now convert to inches

$\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches$

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice C is $4\frac{1}{3}$ feet long

$4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet$

Now convert to inches

$\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches$

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

8 0

3 years ago

3. If r=9.b=5, and g=-6, what does (r +b-8)(b + g) equal?

VLD [36.1K]

Answer:

-6

Step-by-step explanation:

r = 9, b = 5, g = -6

Plug these values into (r + b - 8)(b + g)

[(9) + (5) - 8]*[(5) + (-6)]

Combine like terms in the brackets

[6]*[-1]

6 times -1 equals -6, so that is your answer

8 0

3 years ago

A right cylinder has a radius of r inches and height of 2r inches.

lys-0071 [83]

Answer:

Part a) The lateral area is $4r^{2} \pi \ in^{2}$

Part b) The area of the two bases together is $2r^{2} \pi\ in^{2}$

Part c) The surface area is $6r^{2} \pi\ in^{2}$

Step-by-step explanation:

we know that

The surface area of a right cylinder is equal to

$SA=LA+2B$

where

LA is the lateral area

B is the area of the base of cylinder

we have

$r=r\ in$

$h=2r\ in$

Part a) Find the lateral area

The lateral area is equal to

$LA=2\pi rh$

substitute the values

$LA=2\pi r(2r)$

$LA=4r^{2} \pi\ in^{2}$

Part b) Find the area of the two bases together

The area of the base B is equal to

$B=r^{2} \pi\ in^{2}$

the area of the two bases together is

$2B=2r^{2} \pi\ in^{2}$

Part c) Find the surface area of the cylinder

$SA=LA+2B$

we have

$LA=4r^{2} \pi\ in^{2}$

$2B=2r^{2} \pi\ in^{2}$

substitute

$SA=4r^{2} \pi+2r^{2} \pi=6r^{2} \pi\ in^{2}$

4 0

3 years ago

Read 2 more answers