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Sequences

Sequences

Geometric Sequences Exercises

Example 1

Determine whether the sequence is geometric.

1,

Example 2

Determine whether the sequence is geometric.

3,6,9,12,...

Example 3

Determine whether the sequence is geometric.

10, 15, 22.5, 33.75, ...

Example 4

Determine whether the sequence is geometric.

3, 12, 48, 192, ...

Example 5

Determine whether the sequence is geometric.

.9, .8, .7, .6, ...

Example 6

Determine if the sequence is geometric or not.

1,-1,1,-1,...

Example 7

Determine if the sequence is geometric or not.

-2, 14, -98, 686, ...

Example 8

Determine if the sequence is geometric or not.

3, -15, -75, 375, ...

Example 9

Find the first four terms of the geometric sequence with

a1 = 7 and r = 3

Example 10

Find the first four terms of the geometric sequence with

a1 = 100 and

Example 11

Find the first four terms of the geometric sequence with

a1 = 2 and r = 0.5

Example 12

Find the first four terms of the geometric sequence with

a1 = 8 and r = -4

Example 13

Find the first four terms of the geometric sequence with

a1 = 3 and r = 1

Example 14

A geometric sequence has a1 = 4 and r = 5. Find

a) a2

b) a3

c) a4

d) an

Example 15

A geometric sequence has a1 = 3 and . Find

a) a2

b) a3

c) a4

d) an

Example 16

A general geometric sequence has first term a1 and common ratio r. Find

a) a2

b) a3

c) a4

d) an, the general formula for the nth term.

Example 17

A geometric sequence has a = 8 and r = 0.2. Find a5.

Example 18

A geometric sequence has a = 2 and r = -5. Find a7.

Example 19

A geometric sequence has a = 0.125 and r = 2. Find a20.

Example 20

Find a and r for the geometric sequence with the given terms.

a7 = 640 and a8 = -1280

Example 21

Find a and r for the geometric sequence with the given terms.

a4 = 1.2 and a5 = 0.24

Example 22

Find a and r for the geometric sequence with the given terms.

a4 = -3.125 and a5 = 0.78125

Example 23

Find a and r for the geometric sequence with the given terms.

a11 = 1 and a13 = 0.0625

Example 24

Find a and r for the geometric sequence with the given terms.

a4 = 51.2 and a7 = 26.2144

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