2 years ago

Write an explicit formula for then th an. term of the sequence 45, 15,5. ....

Mathematics

1 answer:

7nadin3 [17]2 years ago

7 0

Answer:

The sequence above is a geometric sequence

For an nth in a geometric sequence

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

where n is the number of terms

a is the first term

r is the common ratio

From the question

a = 45

r = 15 / 45

The explicit formula for the sequence is

U(n) = 45(1/3)^n-1

Hope this helps you

You might be interested in

Jesse borrowed $16,000 to purchase a new car. He borrowed the money from his local bank by taking out a loan that he would need

rodikova [14]

The answer is $630.57

You first need to add both the borrowed money and the interest then divide it all by 30

$16,000+$2,917.10= $18917.10

$18917.10/30= $630.57

8 0

2 years ago

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

fredd [130]

Oooo ok
I don’t now true this or no
But answer is 13

7 0

2 years ago

(Picture Included) could someone give me the answers to #6?

Aliun [14]

1/6 I think i might be wrong

7 0

2 years ago

Read 2 more answers

3^2 - 2x + 4 and g(x) = 5x^2 + 6x - 8 find f-g(x)

sveta [45]

Answer:

For the given functions f(x) and g(x) $(f-g)(x) = -2x^{2} - 8x +12$

Step-by-step explanation:

Here, the given function are:

$f(x) = 3x^{2} - 2x+ 4\\g(x) = 5x^{2} + 6x -8$

Now, simplifying for (f-g)(x) = f(x) - g(x):

$f(x) - g(x) = (3x^{2} - 2x+ 4) - (5x^{2} + 6x -8)$

$= 3x^{2} - 2x+ 4- 5x^{2} - 6x +8$

Doing operation on LIKE TERMS, we get

f(x) - g(x) = $( 3x^{2}- 5x^{2}) + (-2x - 6x) +( 4 +8) = -2x^{2} - 8x + 12$

Hence, for the given functions f(x) and g(x) $(f-g)(x) = -2x^{2} - 8x +12$

4 0

2 years ago

X=8,2x+y=12 solve by substitution show work

son4ous [18]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's substitute the value of x as 8 in the given equation to find the value of y ~

$\sf2x + y = 12$

$\sf(2 \times 8) + y = 12$

$\sf16 + y = 12$

$\sf y = 12 - 16$

$\sf y = - 4$

6 0

1 year ago