Geometric Sequence and Series Flashcards
1
Q
Determine the common ration of the geometric sequence {5, 10, 20, 40, …}
A
2
2
Q
What are the next 3 terms of the geometric sequence {5, 10, 20, 40, …}
A
80, 160, 320
3
Q
Given that a1 = 4 and r = -2, find the value of a6.
A
a6 = -128
4
Q
Given the geometric sequence {48, 16, 16/3, …} determine the value of r and a5.
A
r = 1/3 a5 = 16/27
5
Q
Determine the geometric mean between 3 and 7.
A
±√21
6
Q
Determine 2 geometric means between 2 and 16.
A
4, 8
7
Q
Determine the geometric series of the sequence 2, 4, 8, 16, 32, 64.
A
S6 = 126
8
Q
Determine the sum if a1 = 3, r = 2 and a6 = 96.
A
S6 = 189
9
Q
Determine the value of r, a1 and S6 in this incomplete geometric sequence ___, 6, ___, ___, ___, 486.
A
r = 3 a1 = 2 S6 = 728
