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  1. How do I find the common ratio of a geometric sequence?

    Apr 29, 2019 · A geometric sequence has its first term equal to $12$ and its fourth term equal to $-96$. How do I find the common ratio? And find the sum of the first $14$ terms

  2. Why is a geometric progression called so? [duplicate]

    May 14, 2015 · Just curious about why geometric progression is called so. Is it related to geometry?

  3. Arithmetic or Geometric sequence? - Mathematics Stack Exchange

    Nov 1, 2016 · A geometric sequence is one that has a common ratio between its elements. For example, the ratio between the first and the second term in the harmonic sequence is $\frac …

  4. Proof of geometric series formula - Mathematics Stack Exchange

    Sep 20, 2021 · 5 So for, the above formula, how did they get $ (n+1)$ a for the geometric progression when $r = 1$. I also am confused where the negative a comes from in the …

  5. Geometric sequence help, please! How to know if first term is …

    Oct 17, 2023 · Geometric sequence help, please! How to know if first term is $n=1$ or $n=0$? Ask Question Asked 2 years, 2 months ago Modified 1 year, 7 months ago

  6. Definition of a geometric sequence - Mathematics Stack Exchange

    May 15, 2015 · We could also define a geometric sequence as any sequence such that each term ,after the first term, is the geometric mean of its successor and predecessor. In which case, …

  7. What is the difference between arithmetic and geometrical series?

    Nov 26, 2014 · Geometric and arithmetic are two names that are given to different sequences that follow a rather strict pattern for how one term follows from the one before. An arithmetic …

  8. How do you find the common ratio of a geometric sequence if not …

    Nov 25, 2020 · The only given values are the sum of an infinite geometric series which is equal to 9/2, and the second term which is equal to -2. How do I find the common ratio here?

  9. Rate of growth of a geometric sequence - Mathematics Stack …

    Aug 24, 2014 · 1 Since the geometric series, or their partner the continuous exponential have varying rates of change, it is nice to find something consistant within them we can call a …

  10. Valid Geometric Progression - Mathematics Stack Exchange

    Apr 20, 2016 · 2 From wiki, the definition of a Geometric Progression is seen as a geometric progression, also known as a geometric sequence, is a sequence of numbers where each …