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Write the sum of the geometric series as a rational number

Question : Write the sum of the geometric series as a rational number : 2158623

Use the formula for Sn to find the sum of the first five terms of the geometric sequence.  Round to the nearest hundredth, if necessary.

26) (3/2), (3/4), (3/8), (3/16), (3/32), . . .

A) 93

B) (1/4)

C) (7/32)

D) (93/32)

27) a1 = 1.587, r = -8.606

A) 7799.20

B) -7798.87

C) -9850.01

D) 0.17

Find the sum of the geometric series.

28)

A) 42

B) 255

C) 22

D) 186

29)

A) 12

B) 75

C) -366

D) -1230

30)

A) (62/3)

B) (53/3)

C) (68/3)

D) (98/3)

Write the sum of the geometric series as a rational number.

31) 0.2 + 0.02 + 0.002 + 0.0002 + ...

A) (1/5)

B) (2/9)

C) (11/50)

D) (111/500)

32) 0.69 + 0.0069 + 0.000069 + ...

A) (23/33)

B) (23/30)

C) (31/50)

D) (69/100)

33) 0.06 + 0.006 + 0.0006 + 0.00006 + ...

A) (3/25)

B) 18(2/3)

C) (1/15)

D) (1/10)

Find the common ratio r for the given infinite geometric sequence.

34) 3, 9, 27, 81, 243, ...

A) 3

B) -3

C) (1/3)

D) 9

35) 3, -9, 27, -81, 243, ...

A) 3

B) -12

C) -3

D) - (1/3)

36) (4/3), (8/3), (16/3), (32/3), (64/3), ...

A) 2

B) 6

C) 4

D) (1/2)

37) 68, 34, 17, 8.5, 4.25, ...

A) -0.5

B) 0.5

C) 4.25

D) 2

38) (3/4), (3/8), (3/16), (3/32), (3/64), ...

A) (1/2)

B) (1/12)

C) 2

D) 12

Evaluate the series, if it converges.

39) 8 + 2 + (1/2) + (1/8) + . . .

A) (32/3)

B) (4/3)

C) (8/3)

D) Does not converge

40) 15 - 3 + (3/5) - (3/25) + . . .

A) - (5/2)

B) (5/6)

C) (25/2)

D) Does not converge

41)

A) (5/3)

B) 12

C) 30

D) Does not converge.

42)

A) (5/9)

B) - (4/3)

C) (5/3)

D) Does not converge.

43)

A) - (3/4)

B) (3/4)

C) (7/4)

D) Does not converge.

44)

A) Does not converge.

B) 153

C) 119

D) - 119

45)

A) - (99/8)

B) (7/16)

C) Does not converge.

D) (77/8)

46) (2/5) + (2/25) + (2/125) + (2/625) + ...

A) (2/5)

B) 1

C) (1/2)

D) Does not converge

47) 9 + 3 + 1 + (1/3) + . . .

A) (27/2)

B) (29/2)

C) 13

D) 15

48) (4/3) + (4/9) + (4/27) + (4/81) + ...

A) (4/3)

B) 2

C) 8

D) Does not converge

49) - (1/2) + (1/8) - (1/32) + (1/128) + ...

A) - (2/5)

B) - (4/5)

C) Does not converge

D) - (1/2)

Use a graphing calculator to evaluate the sum. Round to the nearest thousandth.

50)

A) 2.360

B) 2.001

C) 3.042

D) 2.682

Solution
5 (1 Ratings )

Solved
Algebra 11 Months Ago 110 Views
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