MATH 320 Midterm: MATH 320 KSU Test 1s00

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The point value of each problem is given in the margin. (12) 1. Identify each of the following sequences as arithmetic, geometric, or neither, and nd the next two terms in each sequence: 14, 21, 28, 35, 42, 49, . b) , 1, 3, 9, 27, : 1, 2, 7, 16, 29, 46, . (12) 2. a) calculate the sum 2 + 4 + 6 + + 198. Nd the rst term. (12) 3. a) let n be the set of all natural numbers and let 2n be the set of all even numbers. Are n and 2n in 1 1 correspondence, and, if so, demonstrate a 1 1 correspondence between the sets: let a have cardinality 5 and b have cardinality 3 . 2: let a have cardinality 10 and b have cardinality 20 . What is the largest cardinality that a b can have, and under what conditions can this happen? (10) 4.