1 . Suppose the sequence {an } is defined by the explicit formula an =- n + 8: for n = 0, 1, 2, 3,.... Write out the first four terms of the sequence. an (Simplify your answer.) (Simplify your answer.) (Simplify your answer.) a3 (Simplify your answer.) 2. Suppose the sequence za} is defined by the recurrence relation an + , =na, , for n= 1, 2, 3,..., where a, =2. Write out the first five terms of the sequence. Simplify your answer.) a2 = (Simplify your answer.) aA (Simplify your answer.) (Simplify your answer.) 3. Consider the infinite series . Evaluate the first four terms of the sequence of partial sums. k = 1 The first partial sum is S1 = (Type an integer or a simplified fraction.) The second partial sum is S2 = (Type an integer or a simplified fraction.) The third partial sum is S, = (Type an integer or a simplified fraction.) The fourth partial sum is S4 = (Type an integer or a simplified fraction.)