Suppose an and bn are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say about an ? Why? an converges by the Comparison Test. We cannot say anything about an . an diverges by the Comparison Test. an converges if and only if an ≤ 4bn. an converges if and only if an ≤ 2bn. (b) If an < bn for all n, what can you say about an ? Why? an diverges by the Comparison Test. an converges if and only if bn 2 ≤ an ≤ bn. We cannot say anything about an . an converges by the Comparison Test. an converges if and only if bn 4 ≤ an ≤ bn.

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

step-by-step explanation:

bob the banana