All categories

3 years ago

PLEASE HELP ME WITH MATH Write an explicit formula for the following sequence. Then generate the first five terms.

Mathematics

1 answer:

Andru [333]3 years ago

5 0

Answer:

$\text{B. }a_n=625(0.2)^{n-1}\quad\text{for $n>1$}\\625,125,25,5,1$

Step-by-step explanation:

The explicit formula for a geometric sequence with first term a1 and common ratio r is ...

$a_n=a_1\cdot r^{n-1}$

In this problem, you are given a1=625 and r=0.2. Filling in those values gives the explicit formula ...

$a_n=625(0.2)^{n-1}$

You can either evaluate this function for values of n = 1 through 5, or you can multiply each term by the common ratio to get the next.

a1 = 625

a2 = 625·0.2 = 125

a3 = 125·0.2 = 25

a4 = 25·0.2 = 5

a5 = 5·0.2 = 1

You might be interested in

2a+3b=5<br> b=a-5 help please

diamong [38]

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

6 0

3 years ago

Read 2 more answers

The company is building a scale model of the theater's main show tank for an investor's presentation. Each dimension will be mad

Ede4ka [16]

Answer:

This means the mock-up tank has a volume 216 times smaller than the initial tank.

Step-by-step explanation:

The ratio between volume is given by

$\frac{V_2}{V_1}=\frac{(1/6)L^{3} }{L^{3}} =\frac{1}{216}$

This means the mock-up tank has a volume 216 times smaller than the initial tank.

5 0

3 years ago

Read 2 more answers

8х + 5у = -7<br> — 7х + бу = — 4

Levart [38]

Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

⇒8x= -5y -7

⇒x= -5y-7 / 8 →(3)

Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

7(-5y-7/8)-6y=4

⇒-35y-49-48y=32

⇒-83y-49=32

⇒-83y=32+49

⇒-83y=81

⇒y= 81 / -83

⇒y= -0.9759→(4)

Now, Putting y= -0.9759 in equation (3), we get

x= -5y-7

x= -5(-0.9759)-7/8

⇒x= 4.8795-7/8

⇒x= -2.1205/8

⇒x= -0.2651

∴x= -0.2651 and y = -0.9759

7 0

3 years ago

Please help...............................!

arlik [135]

Class F=36.6666666667%
class E=33.3333333333%
class H=41.6666666667%
class G=<span>32%</span>

4 0

3 years ago

Solve the equation -x/6greaterthanequalto3

enot [183]

Answer (depending if the fraction is positive or negative):

x ≥ 18
x ≤ -18

Step-by-step explanation:

If the fraction is positive:

Write it out: $\frac{x}{6} \geq 3$
Multiply each side by 6 to cancel out the 6 under x. It should now look like this: x ≥ 18

If the fraction is negative:

Write it out: $-\frac{x}{6} \geq 3$
Multiply each side by -6 to cancel out the -6 under x. It should now look like this: x ≤ -18

I hope this helps!

3 0

3 years ago