All categories

3 years ago

Find the common ratio. Write the answer in lowest terms. 8+12+18+27+...

Mathematics

1 answer:

kozerog [31]3 years ago

4 0

Answer:

$r=\dfrac{3}{2}$

Step-by-step explanation:

Consider the sequance

$a_1=8\\ \\a_2=12\\ \\a_3=18\\ \\a_4=27\\ \\...$

Note that

$\dfrac{a_2}{a_1}=\dfrac{12}{8}=\dfrac{3}{2}\\ \\ \\\dfrac{a_3}{a_2}=\dfrac{18}{12}=\dfrac{3}{2}\\ \\ \\\dfrac{a_4}{a_3}=\dfrac{27}{18}=\dfrac{3}{2}\\ \\...$

So, common ratio is

$r=\dfrac{3}{2}=1\dfrac{1}{2}$

You might be interested in

01 = --<br>On =an 1+1<br>2<br>What is ?

olga55 [171]

Answer:

Step-by-step explanation:

01=1

and.1+1=2 that is sum of 1 &1

5 0

3 years ago

How many ways can six of the letters of the word 'PALINDROME' be selected and written in a row if the first two letters must be

IgorC [24]

BY permutation, There are 90 ways by which the arrangement of 'PALINDROME' takes place.

According to the statement

we have given that the word 'PALINDROME' and we have to find that the in how much ways this word can be arranged.

So, For this purpose, we use the permutation here

So, A permutation is a mathematical technique that determines the number of possible arrangements.

The word given is:

'PALINDROME' this contain 10 words and given 2 words M and E are in any order.

So, Permutation takes place with $P^{10} _{2}$ .

So,

$P^{10} _{2}$

Now solve this then

$P^{10} _{2} = \frac{10!}{(10 -2) !}$

And

$P^{10} _{2} = \frac{10!}{(8) !}$

$P^{10} _{2} = \frac{10*9*8*7*6*5*4*3*2*1}{(8*7*6*5*4*3*2*1) !}$

And then after take common from them and cancel it the equation become

$P^{10} _{2} = 10*9$

$P^{10} _{2} = 90$

90 ways are comes as the output.

So, BY permutation, There are 90 ways by which the arrangement of 'PALINDROME' takes place.

Learn more about permutation here

brainly.com/question/11732255

#SPJ4

4 0

2 years ago

Worth lot of points :))))

maxonik [38]

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

-4/3 = (6 - y)/[4-(-2)]

-4/3 = (6-y)/6

(-4/3)×6 = 6-y

-8 = 6-y

y = 6 + 8

= 14

7 0

3 years ago

Read 2 more answers

Johnny and Elizabeth were playing a video game and trying to get all of the treasure Johnny got 1/3 and Elizabeth got 5/9 of the

LiRa [457]

Answer:

8/9. 5/9+1/3 L.C.M =9 ANS= 8/9.

8 0

3 years ago

An equation of the line that passes through the points (3,5) and (6,7) in point-slope form

Oliga [24]

Answer:

y-5=1/4(x-3)

Step-by-step explanation:

first you need to find the slope.

5-7 over 3-6 = -1/-4 or 1/4

next put into point-slope form.

y-y1=m(x-x1)

or y-5=1/4(x-3)

7 0

4 years ago