# Solved > MULTIPLE CHOICE. Choose the one alternative that best:2162711 …

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Determine whether the sequence converges or diverges. If it converges, find its limit.

1) {an} = {(8n + 7/3n + 4)}

A) Diverges

B) -11

C) (8/3)

D) (7/4)

2) {an} = {(3n4 – 4n + 1/7n4 + 9n3 + 6)}

A) (1/2)

B) (3/7)

C) Diverges

D) (1/7)

3) {an} = {(7n/n2 + 9)}

A) Diverges

B) (7/9)

C) 0

D) 7

4) {an} = {6n}

A) Diverges

B) 1

C) 0

D) 6

5) {an} = {5((5/6))n}

A) 0

B) (25/6)

C) Diverges

D) 5

6) {an} = {7 + (2/n)}

A) 9

B) 7

C) 0

D) Diverges

7) {an} = {(4 + (-1)n/4)}

A) 1

B) 0

C) (5/4)

D) Diverges

8) {an} = {(7n/n)}

A) 7

B) 1

C) 0

D) Diverges

9) {an} = {2cos(nπ)}

A) Diverges

B) 0

C) -2

D) 2

10) {an} = {3sin(nπ)}

A) Diverges

B) 0

C) -3

D) 3

Find the first five terms in the sequence of partial sums for the series.

11)

A) (1/4), (5/16), (21/64), (85/256), (341/1024)

B) 1, (1/4), (1/16), (1/64), (1/256)

C) (5/4), (21/16), (85/64), (341/256), (1365/1024)

D) 1, (5/4), (21/16), (85/64), (341/256)

12)

A) 1, 8, 9, 36, 100

B) 1, 9, 36, 100, 225

C) 1, 8, 35, 99, 224

D) 1, 8, 27, 64, 125

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