chrissietynan23 chrissietynan23
  • 22-10-2019
  • Mathematics
contestada

Acellus
Find the fifth term in the sequence
that is defined as follows:
a1 = 1
an = 3an-1 + 2

Respuesta :

frika
frika frika
  • 22-10-2019

Answer:

161

Step-by-step explanation:

Given:

[tex]a_1=1\\ \\a_n=3a_{n-1}+2[/tex]

Find: [tex]a_5[/tex]

First, find the second term. Substitute n=2:

[tex]a_2=3a_1+2=3\cdot 1+2=3+2=5[/tex]

Now, find the third term, substitute n=3:

[tex]a_3=3a_2+2=3\cdot 5+2=15+2=17[/tex]

Find the 4th term, substitute n=4:

[tex]a_4=3a_3+2=3\cdot 17+2=51+2=53[/tex]

At last, find the fifth term, substitute n=5:

[tex]a_5=3a_4+2=3\cdot 53+2=159+2=161[/tex]

Answer Link

Otras preguntas

he diagram shows the genetic code, which cells use to translate a nucleotide sequence into an amino acid sequence in a protein. Scientists have studied a huge n
NEED HELP ASAP PLS HELP GIVING BRAINLIST!!!!!!!!!!
HELP ASAP which equation represents circle Q?
what were the reasons behind the civil war, and what were the it's results?
Describe the overriding principles of the Enlightenment and explain how they influenced American statesmen in the period leading up to the Revolution
PLEASE HELP ME (multiple choice QUESTIONS)♥️
What is a good rule of thumb for how much white space you should have in a flyer or poster
I'll mark you as brainliest and give you 5 stars if you help me with this :)
Select the correct answer
i just need what styles came before and after impressionism.