Sequences and Series Geometric

In a geometric sequence, the 4th term is -12 and the 5th term is -24. Find the common ratio.

• 2

• -2

The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term.

• 5

• 6

• 7

• 8

Find the sum of the geometric series

7 + 14 + 28 + 56 + ... + 7168.

• 14,327

• 14,329

• 14,331

• 14,333

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

• 59,050

• -59,048

• -78,732

• 118,096

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048

• 6,144

• -6,144

• -531,441

The next two terms of the sequence 8,4,2,1, 1/2 are

• 1/3 and 1/4

• 1/4 and 1/8

• 1/8 and 1/6

• 1/5 and 1/7

The next term of the sequence 2,4,8,16 is

• 64

• 32

• 108

• 20

What would be the missing terms of the series

• 125 + 625 - 3125 + 15625

• 125 - 625 - 15625

• 125 - 625 - 3125 - 15625

• 625 - 3125 - 15625

An infinite series exists for which of the following situations?

• An arithmetic series

• A geometric series

• A geometric series with | r | > 1

• A geometric series with | r | < 1

The sum of an infinite Geometric series is given by:

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