Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get immediate and reliable solutions to your questions from a community of experienced professionals 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



Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.