Geometric Sequences Exercises
Example 1
Find the common ratio for the sequence given by
Example 2
Find the common ratio for the sequence given by 4, 0, 0, 0,…
Example 3
Find the explicit rule for the geometric sequence with a1 = 4 and a4 = 4⁄27.
Example 4
Find the explicit rule for the geometric sequence with a1 = 1 and a5 = 4.
Example 5
List the first four terms and of a geometric sequence with a first term of 2 and a common ratio of
.
Example 6
Find the 18th term of a geometric sequence with a first term of 5 and a common ratio of 3.
Example 7
Determine how many terms exist in the sequence 1, 5, 25,…,1,953,125.
Example 8
Determine how many terms exist in the sequence .