Let o an be a series with positive terms and let rn an11yan . Suppose that limnl` rn L , 1, so o an converges by the Ratio Test. As usual, we let Rn be the remainder after n terms, that is, Rn an11 1 an12 1 an13 1 (a) If hrn j is a decreasing sequence and rn11 , 1, show, by summing a geometric series, that Rn < an11 1 2 rn11 (b) If hrn j is an increasing sequence, show that Rn < an11 1 2 L

Abnormal Psychology Chapter 12 Personality Disorders An Overview Personality Disorders - Personality disorders - A persistent pattern of emotions, cognitions and behavior that results in enduring emotional distress for the person affected and/or for others and may cause difficulties with work and relationships An Overview Personality Disorders - High comorbidity - Poorer prognosis - Therapist reactions - Countertransference - 10 specific personality disorders - 3 clusters Categorical and Dimensional Models - Categorical vs. dimensional models - “Kind” vs. “Degree” - Dimensions instead of categories - By a dimensional model individuals would not only be given categorical diagnoses but also would be rated on a series of personality dimensions - “Emerging measures and models” Categor