2 years ago

Find the common ratio and the explicit formula -3, 9, -27, 81,

Mathematics

1 answer:

Fofino [41]2 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

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

where re a is the first term and r the common ratio

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio

and a = - 3, thus

[te x]a_{n}[/tex] = - 3 $(-3)^{n-1}$ ← explicit formula

You might be interested in

Please help i will give brainliest

Lilit [14]

Answer:

Step-by-step explanation:

7 0

2 years ago

Using the distance formula, calculate how far Tre threw the ball. (4 points: 2 points for setup, 1 for calculation, 1 for the an

sergij07 [2.7K]

Answer:

$D = 63.717$

Step-by-step explanation:

The details that complete the question are:

$(x_1,y_1) = (0,42.78)$

and

$(x_2,y_1)=(90,42.78)$

Required

Determine how far the ball travelled

Distance is calculated using:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute values for x's and y's

$D = \sqrt{(42.78 - 0)^2+(42.78-90)^2}$

$D = \sqrt{42.78^2+(-47.22)^2$

$D = \sqrt{1830.1284+2229.7284$

$D = \sqrt{4059.8568$

$D = 63.717$

<em>Hence, the ball travelled a distance of 63.717 units</em>

6 0

3 years ago

Solve this equation, <br> -13m=-377

lozanna [386]

-13m = -377
m= -377/-13
m=29
the negatives cancel out. so just do 377/13 which equals 29

5 0

2 years ago

How can you write 45.6 in words

pantera1 [17]

Answer:

forty-five and six tenths

Step-by-step explanation:

45 = forty five

.6 = six tenths

3 0

2 years ago

Read 2 more answers

If f(x)= 4-2x and g(x)=6x which expression is equivalent to (g-f)(3)

Dmitrij [34]

Answer:

(g-f)(3) = 20

Step-by-step explanation:

g(3)=6 * (3) = 18

f(3)= 4-2(3) = 4 - 6 = -2

(g-f)(3) = 18 - (-2) = 20

4 0

2 years ago

Find the common ratio and the explicit formula -3, 9, -27, 81,​

Find the common ratio and the explicit formula -3, 9, -27, 81,