4. Consider a monotone sequence (ak) for which the difference between successive terms ak and ak+1 ak+1 satisfies (for all k) ak - ? 0. The classification is: a) increasing b) decreasing c)...

4. Consider a monotone sequence (ak) for which the difference between successive terms ak and ak+1 ak+1 satisfies (for all k) ak - ? 0. The classification is:
a) increasing b) decreasing c) nondecreasing d) nonincreasing e) divergent
5. Consider a monotone sequence {ak} with positive terms for which the ratio a
k+1 between successive terms ak and ak+1 satisifies (for all k) a > 1. k
The classification is:
a) increasing b) decreasing c) nondecreasing d) nonincreasing e) divergent
1 6. The series R has a name. The name is: Fool
a) geometric series b) harmonic series ci convergent p-series d) power series e) alternating series
7. (Complete the sentence to make a valid statement.)
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A series Z ak converges if for the sequence of partial sums {sn), where k=1
n sn = Z ak k=1
a) {sn) is positive for every n. b) {sn) is monotone increasing. c) {sn) converges. d) {sn) is monotone decreasing. e) (sn) is bounded.