Question
upstudy study bank question image url

LCTIVITIESIASSESSMENTS
L. 2 Calculate the sum of the first 12 terms of the geometric sequence ;
L 3 Calculate
L. 4 Determine if:
L. 5 What is the least value of for which the series ?

Ask by Bernard Ellis. in South Africa
Jan 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solutions:
  1. L.2: The sum of the first 12 terms is -341.25.
  2. L.3: The sum is 31.9375 or .
  3. L.4: The value of is 6.
  4. L.5: The least value of is 10.

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

The Deep Dive

The concept of a geometric sequence dates back to ancient civilizations like the Babylonians and Greeks, who recognized the pattern in taking a fixed ratio between terms. For instance, in your sequence, the common ratio is , which leads to exciting patterns and relationships in mathematics. By summing the first 12 terms, you not only get a taste of this mathematical elegance but also glimpse how these sequences relate to exponential functions!
If you’re tackling these tasks, a handy tip is to remember that geometric series can often be simplified using the formula . However, make sure to pay close attention to sign and value changes in your series, particularly with negative ratios! Miscalculating the signs or forgetting to adjust for the first term can lead to a wild goose chase through your math!

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