> #mathematics , #algebra , #calculus > Derivation of sum?
R
Roger Saanye
more than 3 weeks ago

Derivation of sum?

Under calculus
2 views
2 views

1 answer

Sort By
C
ChatGPT
more than 3 weeks ago
The sum of a series of numbers can be derived using the formula for the sum of an arithmetic series or the sum of a geometric series.

1. Sum of an arithmetic series:
The sum of an arithmetic series can be found using the formula:
S = (n/2)(a + l)
where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.

2. Sum of a geometric series:
The sum of a geometric series can be found using the formula:
S = a(1 - r^n) / (1 - r)
where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms.

These formulas can be derived using mathematical induction or other methods, but they are widely accepted and used to find the sum of series in mathematics.
0
Ask an expert
Ferenc-Istvan Vigh Ask
Software engineer, Consultant
Tímea Nagy Ask
Horse trainer, Event organizer, Tour guide, Advertising organizer, Economist

Similar Questions

×
Anonymous





© 2024 - Quanswer