All categories

2 years ago

Write a rule for the nth term of the geometric sequence for which a1=−6 and a5=−486

1 answer:

7 0

The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)

<h3>The nth term of a geometric sequence</h3>

First term, a1 = -6

Fifth term, a5 = -486

a5 = ar^(n - 1)

-486 = -6 × r^(5-1)

-486 = -6r⁴

r⁴ = -486 / 6

r⁴ = 81

r = 4√81

r = 3

Geometric rule:

nth term = ar^(n-1)

nth term = -6 × 3^(n - 1)

Learn more about geometric sequence:

brainly.com/question/24643676

#SPJ1

You might be interested in

if it is friday then letica family will have pizza for dinner. if letica family has pizza for dinner, letica will song at the di

stiv31 [10]

Answer:

the first statement

Step-by-step explanation:

it's the first one because on the second one the family members name is letica and the family is letica so it cant be both

5 0

2 years ago

Identify GCF 4x^2y-8x

pogonyaev

Answer:

The GCF for the numerical part is 4 . The factors for x2

Step-by-step explanation:

3 0

3 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

A driver driving a business trip of 240 miles would have reached his destination if he'd been able to drive 12 mph faster than h

mariarad [96]

The average speed of his trip is = 12 mile/ hour

The total distance covered by the driver = 240 miles

The rate at which he traveled = 12 miles per hour

Therefore, the time he used to cover his distance

= 240/12

= 20 hrs

But average speed = distance/ time

= 240/ 20

= 12 miles/ hour

Therefore, the average speed of his trip is = 12 mile/ hour

Learn more here:

brainly.com/question/11753352

8 0

2 years ago

What is 3.33333333333 as a whole number?

sattari [20]

3.33333333 as a whole number is 3

6 0

3 years ago