At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

-20, 10, -5,

I need the next sequence


Sagot :

Answer:

  • The next term in the sequence is 5/2 or 2.5.

========================

Given series:

  • -20, 10, - 5, ...

We notice that this is a geometric progression.

The common ratio is:

  • r = -5/10 = 10/ -20
  • r = - 1/2

To find the next term multiply the last term by the common ratio:

  • [tex]t_n=rt_{n-1}[/tex]

The 4th term is:

  • [tex]t_4=(-1/2)*(-5)=5/2=2.5[/tex]