Math, asked by markanthonyquillo32, 8 months ago

1,3,9,27,81,____What is the next number?​

Answers

Answered by dixitadwait05
10

Answer:

243

Step-by-step explanation:

.………..….............. 1x3 , 3x3,9x3,27x3,81x3

81x3 = 243

Answered by jebaliyarushiraj
2

Answer:

1. the next number = 243

2. the 12th number = 177147

Further explanation

Geometric sequences are a series of numbers that have a constant ratio

or can be interpreted:

Each number is obtained by multiplying the previous number by a constant

The sequence can be:

\tt a,ar,ar^2,ar^3...ar^{n-1}a,ar,ar

2

,ar

3

...ar

n−1

Can be formulated:

\tt a_n=ar^{n-1}a

n

=ar

n−1

where:

a is the first term, and

r is a common ratio

1, 3, 9, 27, 81, __

If we look at the series, then we can conclude that the series is a geometric sequence

So that the ratio value, r

\tt r=\dfrac{3}{1}=\dfrac{9}{3}=3r=

1

3

=

3

9

=3

the next number = a₆

\begin{gathered}\tt a_1=a=1\\\\r=3\\\\a_6=ar^{6-1}\\\\a_6=1.3^{5}\\\\a_6=243\end{gathered}

a

1

=a=1

r=3

a

6

=ar

6−1

a

6

=1.3

5

a

6

=243

the 12th number= a₁₂

\begin{gathered}\tt a_{12}=1.3^{12-1}\\\\a_{12}=3^{11}\\\\a_{12}=177147\end{gathered}

a

12

=1.3

12−1

a

12

=3

11

a

12

=177147

Learn more

the geometric sequence

https://brainly.ph/question/154960

Formula for geometric sequence

https://brainly.ph/question/2238923

Geometric sequence 1,5,25

https://brainly.ph/question/2261692

#LetsStudy

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