Subjects algebra

Sum Infinity F55980

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1. The problem asks to find the sum to infinity of a series. 2. The sum to infinity formula for a geometric series is: $$S_\infty = \frac{a}{1 - r}$$ where $a$ is the first term and $r$ is the common ratio. 3. Important rule: The sum to infinity exists only if the absolute value of the common ratio is less than 1, i.e., $|r| < 1$. 4. To solve, identify $a$ and $r$ from the series given (not provided here). 5. Substitute $a$ and $r$ into the formula and simplify. 6. If $|r| \geq 1$, the sum to infinity does not exist. Since the series details are not provided, the general formula and conditions are given for sum to infinity.