A community for students.
Here's the question you clicked on:
 0 viewing
Adam1994
 3 years ago
The sum of a geometric series is 2044. If the first term is 4 and the common ratio is 2, what is the final term in the sequence?
Adam1994
 3 years ago
The sum of a geometric series is 2044. If the first term is 4 and the common ratio is 2, what is the final term in the sequence?

This Question is Closed

Blacksteel
 3 years ago
Best ResponseYou've already chosen the best response.1In a geometric series, the common ratio is the number each term is multiplied by to get the successive term. Hence, this series will be: 4 + 8 + 16 + ... You'll notice that the magnitude of the sum of all previous terms is in fact 4 less than the next term in the sequence (so for example, 4 is 4 less than 8, 4 + 8 = 12 is 4 less than 16, 4 + 8 + 16 = 28 is 4 less than  32, etc) Thus, if the sum of all terms is 2044, the next term in the sequence would have been 2048. Then the last term in the sequence must have been half that, of 1024.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.