All categories

3 years ago

Determine the explicit formula of the following sequence -3,-18,-108...

Mathematics

1 answer:

kvv77 [185]3 years ago

3 0

Answer:

$a_{n}$ = - 3 $(6)^{n-1}$

Step-by-step explanation:

Note the common ratio r between consecutive terms, that is

r = - 18 ÷ - 3 = - 108 ÷ - 18 = 6

This indicates the sequence is geometric with n th term ( explicit formula )

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = - 3 and r = 6, thus

$a_{n}$ = - 3 $(6)^{n-1}$

You might be interested in

Point C is on line segment \overline{BD} BD . Given CD=x,CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical len

NARA [144]

Answer:

$CD = 3$

Step-by-step explanation:

Given

$CD = x$

$BC = 5x - 5$

$BD = 2x + 7$

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

$BD = BC + CD$

Substitute the values of BD, BC and CD

$2x + 7 = 5x - 5 + x$

Collect Like Terms

$2x - 5x - x = -5 - 7$

$-4x = -12$

Divide both sides by -4

$\frac{-4x}{-4} = \frac{-12}{-4}$

$x = 3$

To determine the length of CD;

Substitute 3 for x in $CD = x$

Hence;

$CD = 3$

3 0

3 years ago

The equation f(x) = x – 5 translated 4 units to the left is g(x) = ?

muminat

Answer:

g(x)=(x+4)-5

Step-by-step explanation:

I don't explain well but bascially translated to the left is adding 4 in the x with a paranthesis. Right is negative

5 0

3 years ago

Read 2 more answers

Plz help me, first one who helps will get a BRAINLIEST.

Gnom [1K]

Answer: 1. 1,0 2. -1,9 3.-20

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

ben had a part time job at the fun station . suppose he worked 13.5 hours one week and made $81 . how much did ben earn per hour

erica [24]

81 = 13.5x

x is the amount he earns per hour.

To get the answer, use inverse operations and divide both sides by 13.5.

13.5x divided by 13.5 is x.

81 divided by 13.5 is 6.

6=x

This means that he earned $6 per hour

7 0

4 years ago

PLZ HELP!!! ASAP!!!!

Sindrei [870]

Since h(x) doesn't have any division by zero possibilities, and we aren't working with square roots, this means we don't have any domain restrictions to worry about.

We can plug in any real number we want for x to get some output h(x).

Therefore, all of the numbers listed are in the domain of h(x).

7 0

3 years ago