Activity No. 4 Find the indicated sum of the geometric sequence having the following characteristics:
1. 3, 6, 12, ... ; find S5
2. a1 = 14, r = 3, find the sum of the first five terms of this sequence.
3. a1 = 318, r =
1
2
, find Sn
4. S7 = 547, r = −3, find a1
5. Sn, if the sequence is 3, Answer the following. Solve the unknown.
1. The first term of the geometric sequence is 2 and its common ratio is 2. Find the 7th term of
the geometric sequence.
2. What is the second term of the geometric sequence if the first term is 3 and its last term is
1125?
3. Determine the sum of the geometric sequence 2, 6, 18, 54, 162.
4. If the sum of the first five terms of the sequence is 341 and has a common ratio of 4. Find
a1
.
5. What is the sum of an infinite geometric sequence whose first term is 192 and has common
ratio of 1
4
?