
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
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?
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 …
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 …
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
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, …
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 …
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?
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 …
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 …