Sum of Partial Sums of Arithmetic Sequence

This online calculator calculates partial sums of an arithmetic sequence and displays the sum of partial sums.

Esta página existe gracias a los esfuerzos de las siguientes personas:

Timur

Timur

Michele

Michele

Creado: 2020-02-17 09:32:36, Última actualización: 2020-12-11 12:13:51
Creative Commons Attribution/Share-Alike License 3.0 (Unported)

Este contenido está bajo licencia de Creative Commons Attribution/Share-Alike License 3.0 (Unported). Esto significa que puedes redistribuirlo o modificar su contenido en forma libre bajo las mismas condiciones de licencia y debes mantener la atribución del mismo al autor original de este trabajo colocando un hipervínculo en tu sitio web a este trabajo https://es.planetcalc.com/8596/. Así mismo, por favor no modifiques o alteres ninguna de las referencias al trabajo original (si hubiera alguna) que se encuentre en este contenido.

A user request inspired this calculator. As you probably know, the arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. This difference is called common difference and the formula to compute the next number in the sequence is

a_n=a_{n-1}+d=a_1+(n-1)d

You can also sum numbers on the sequence up to a certain index n (which is called partial sum). The formula for the partial sum would be

S_p=\frac{(a_1+a_n)n}{2}

But you can also sum these partial sums as well. This is what the calculator below does. You enter the first term of the sequence, the common difference, and the last index to compute, and the calculator displays the table with the following columns:

  • index i
  • i-th member of the sequence
  • i-th partial sum
  • i-th sum of partial sums

PLANETCALC, Sum of Partial Sums of Arithmetic Sequence

Sum of Partial Sums of Arithmetic Sequence

Digits after the decimal point: 2
The file is very large. Browser slowdown may occur during loading and creation.

URL copiada al portapapeles
PLANETCALC, Sum of Partial Sums of Arithmetic Sequence

Comentarios