Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
The explicit rule for the nth term of the sequence is an = (an-1)*3 +2.
According to the given statement
we have to find the explicit rule for the nth term of the given sequence,.
So, For this purpose
The given sequence is :
2, 8, 26, 80, 242.
And according to the ap series formula
[tex]a_{n} = (a_{n-1} -1)*3 +2[/tex]
If we put the terms in it then we get the exact value as the value in the sequence.
So,
[tex]a_{n} = (a_{n-1} -1)*3 +2[/tex]
For [tex]a_{2}[/tex]
[tex]a_{2}[/tex] [tex]= a_{1} *3 +2[/tex]
[tex]a_{2}[/tex] [tex]= 2*3 + 2[/tex]
[tex]a_{2}[/tex] [tex]= 8[/tex]
and by this way we get all the values as same as the sequence.
So, The explicit rule for the nth term of the sequence is an = (an-1)*3 +2.
Learn more about the explicit rule here
https://brainly.com/question/2512896
#SPJ1
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
