Question
upstudy study bank question image url

Question 6
For the series , find:
(i) the first term and the common ratio
(ii) the sum of the first 6 terms

Ask by Fitzgerald Bright. in Australia
Jan 19,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

First term: 27
Common ratio: -1/3
Sum of the first 6 terms: 20.222

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

The first term in the series is , and the common ratio can be found by dividing the second term by the first term: . So, we have a first term of and a common ratio of .
To find the sum of the first 6 terms of the geometric series, you can use the formula for the sum of the first terms:
Plugging in the values:
The calculation goes:
Calculating , we have:
So, the sum of the first 6 terms is approximately .

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy