Geometric Sequence And Series Calculator
Geometric Sequence And Series: a planned Super Calculator tool. Covers first term. Stub page: the tool, its formula and a worked example are not published yet.
Geometric Sequence And Series Calculator is a planned calculator in the mathematics section of Super Calculator, covering algebra and number theory.
What this calculator will compute
Inputs: first term, common ratio, term index n and number of terms.
Outputs: nth term, finite sum, infinite sum where convergent, term list and convergence verdict.
Formula, recorded as scope and not yet verified against a primary source: nth term a_n = a_1 r^(n-1). Finite sum S_n = a_1(1 - r^n)/(1 - r) for r not equal to one. Infinite sum a_1/(1 - r) exists only for |r| below one, and diverges otherwise.
Status
This page is a stub. The calculator is not built, no figure on this page has been verified against the authority that sets it, and nothing here should be used to make a decision. The page exists so that the site structure is complete and so that articles can link this concept on first mention.
The stub carries noindex, nofollow and is excluded from the sitemap.