Question

Geometric series summation notation calculator.

A) Series convergence
B) Logarithmic scale
C) Polynomial long division
D) Matrix multiplication

Answer 1

A geometric series is a series in which each term is found by multiplying the previous term by a constant ratio. The sum of a geometric series can be calculated using the formula: S = a * (r^n - 1) / (r - 1), where S is the sum, a is the first term, r is the common ratio, and n is the number of terms.

Step-by-step explanation:

A geometric series is a series in which each term is found by multiplying the previous term by a constant ratio. The sum of a geometric series can be calculated using the formula: S = a * (r^n - 1) / (r - 1), where S is the sum, a is the first term, r is the common ratio, and n is the number of terms. To check for convergence of a geometric series, you need to find the absolute value of the common ratio, and if it is less than 1, the series converges. Otherwise, it diverges.