Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

which closed form definition produces the same sequence as g(n) = g(n-1) + 2 where g(1) = 5?

Which Closed Form Definition Produces The Same Sequence As Gn Gn1 2 Where G1 5 class=

Sagot :

We have that

[tex]g(n)=g(n-1)+2[/tex]

then

[tex]\begin{gathered} g(2)=g(1)+2 \\ g(3)=g(2)+2=g(1)+2+2=g(1)+4 \\ g(4)=g(3)+2=g(1)+4+2=g(1)+6 \\ \ldots \end{gathered}[/tex]

so, we see that a closed-form is

[tex]\begin{gathered} f(x)\text{ = g(1)+2(x-1)} \\ f(x)=5+2x-2 \\ f(x)=2x+3 \end{gathered}[/tex]

Then, the answer is the second one

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.