Quiz 4 for Math 114: Explicit Formulas and Partial Sums, Quizzes of Analytical Geometry and Calculus

Download Quiz 4 for Math 114: Explicit Formulas and Partial Sums and more Quizzes Analytical Geometry and Calculus in PDF only on Docsity! Math 114 Quiz 4 Andrew Samuelson Problem 1 (5 points): Find an explicit formula for the nth term of the sequence {1, 4, 9, 16, 25, ...} and find a recurrence relation that generates the sequence. Explicit formula: an = n 2 Recurrence relation a1 = 1, an+1 = ( √ an + 1) 2 Problem 2 (5 points): Find a formula for the nth partial sum of the series ∞∑ k=1 1 2k S1 = 1 2 S2 = 3 4 S3 = 7 8 S4 = 15 16 Sn = 1− 1 2k