To calculate the absolute ratio:
\[ R = \left| \frac{a_{n+1}}{a_n} \right| \]
Where:
The absolute ratio test is a method used in mathematics to determine the convergence or divergence of an infinite series. By examining the ratio of successive terms in the series, the test provides insight into whether the series converges to a finite limit or diverges to infinity. If the absolute value of the ratio of successive terms is less than 1, the series converges. If the ratio is greater than 1, the series diverges. If the ratio is equal to 1, the test is inconclusive.
Let's assume the following values:
Using the formula:
\[ R = \left| \frac{2}{4} \right| = 0.5 \]
The Absolute Ratio is 0.5.
Let's assume the following values:
Using the formula:
\[ R = \left| \frac{10}{5} \right| = 2 \]
The Absolute Ratio is 2.
