Geometric Progression

Basic Algebra Review Part 5: Geometric Progression (Tagalog)


  • The common ratio:
    $r = \dfrac{a_2}{a_1} = \dfrac{a_3}{a_2} = \dfrac{a_4}{a_3} = ~ ...$
  • The nth term:
    $a_n = a_m r^{n - m}$
  • Sum of the first n terms
    $S_n = \dfrac{a_1(r^n - 1)}{r - 1}$ for $n \gt 1$

    $S_n = \dfrac{a_1(1 - r^n)}{1 - r}$ for $n \lt 1$


Note for Calculator
The STAT mode of calulator y = a · b^x cannot be used for r < 0.

Add new comment

Deafult Input

  • Allowed HTML tags: <img> <em> <strong> <cite> <code> <ul> <ol> <li> <dl> <dt> <dd> <sub> <sup> <blockquote> <ins> <del> <div>
  • Web page addresses and e-mail addresses turn into links automatically.
  • Lines and paragraphs break automatically.
  • Mathematics inside the configured delimiters is rendered by MathJax. The default math delimiters are $$...$$ and \[...\] for displayed mathematics, and $...$ and \(...\) for in-line mathematics.

Plain text

  • No HTML tags allowed.
  • Lines and paragraphs break automatically.
This question is for testing whether or not you are a human visitor and to prevent automated spam submissions.