Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 1, − 1/ 3 , 1 /9 , − 1 /27 , 1 /81 , . . .

Sagot :

sqdancefan

9514 1404 393

Answer:

  a[n] = (-1/3)^(n -1)

Step-by-step explanation:

The terms have a common ratio of (-1/3)/(1) = -1/3. The general term for a geometric sequence with first term a1 and common ratio r is ...

  a[n] = a[1]×r^(n-1)

Here, a[1] = 1, so this is ...

  a[n] = (-1/3)^(n-1)

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.