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Geometric sequences and series — Homework

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Geometric sequences and series — Homework

Identify a_1 and r before reaching for either formula.

  1. 1.Find the 6th term of the geometric sequence with a_1=4, r=2.
  2. 2.Find the sum of the first 6 terms of the geometric sequence 5, 15, 45, ...
  3. 3.Find the sum of the infinite geometric series 12+6+3+1.5+...
  4. 4.A ball is dropped from 20 feet and bounces back to 50% of its previous height each time. Find the total vertical distance traveled (down and up, forever).
  5. 5.Why can you not find a finite sum for the infinite series 3+6+12+24+...?
🌲 Homeschool of the FutureEleventh Grade · Math · week 31 homework