Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Find the 7th term in the
sequence
, 1, 3, 9,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term - 1)
Enter

Sagot :

MrRoyal

Answer:

The 7th term is 729

Step-by-step explanation:

Given

[tex]Sequence: 1, 3, 9...[/tex]

Required: Determine the 7th term

The given sequence is a geometric function. So, we calculate the common ratio (r) first.

[tex]r = \frac{T_2}{T_1}[/tex]

[tex]r = \frac{3}{1}[/tex]

[tex]r = 3[/tex]

The nth term of gp is:

[tex]T_n = ar^{n-1[/tex]

Where

[tex]a = T_1[/tex]

The 7th term is:

[tex]T_7 = ar^{7-1[/tex]

[tex]T_7 = ar^6[/tex]

[tex]T_7 = 1 * 3^6[/tex]

[tex]T_7 = 729[/tex]

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.