Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A sequence has an initial value of 10 and each term is twice the previous term. Which function models this sequence?

1) a(n)=10(2)^n
2) a(n)=10(2)^n-1
3) a(n)=10+2n
4) a(n)=10+2(n-1)

Sagot :

mackiemesser
[tex]a(1)=10
a(2)=20
a(3)=40[/tex]

Lets look at available choices:
1) [tex]a(n)=10(2)^n[/tex]
[tex]a(1)=10*2=20[/tex] wrong as a(1) should be 10
2) [tex]a(n)=10*2^{n-1}[/tex] is the right choice because if you put 1 as n in the first case you will get:
[tex]a(1)=10*2^{1-1}=10*2^{0}=10*1[/tex]
3) [tex]a(n)=10+2n[/tex]
[tex]a(1)=10+2=12[/tex] wrong as a(1) should be 10 
4) [tex]a(n)=10+2(n-1)[/tex]
[tex]a(1)=10[/tex] right but...
[tex]a(2)=10+2=12[/tex] wrong as a(2) should be 20

3) and 4) can be dismissed, at once, because the is addition sign between them, and consecutive numbers should be multiplied.

In short 2) is the right answer



We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.