MAT136H1 Lecture : 11.2 Series Question #2 (Medium)
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MAT136H1 Full Course Notes
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If the ratio | | , then the series converges to . If | | , then the series is divergent. Determine if the geometric series is convergent or divergent, and if it is convergent, find the sum. The series can be written as: to match the power in the numerator and denominator. The sign is negligent when it comes to convergence or divergence of geometric series. If the absolute value of the ratio is less than 1 it is convergent. Now since the geometric series is convergent, its total sum can be calculated as: where a is the first term.
