Math 2
Geometric Sequence Homework
Name _________________________________________________________
Date __________________________________________________________
Determine if the sequence is arithmetic or geometric, state the common ratio/common difference, and write the explicit
formula for each sequence that is geometric.
(1) 135, 45, 15, 5…
(2) 12, 18, 27, 40.5…
(3) -12, -16, -20, -24…
Arithmetic or geometric?
Arithmetic or geometric?
Arithmetic or geometric?
d = _________ OR r =
d = _________ OR r =
d = _________ OR r =
____________
____________
____________
Explicit formula:
Explicit formula:
Explicit formula:
Arithmetic or geometric?
(5) 8, 2, 21 , 41
Arithmetic or geometric?
d = _________ OR r =
d = _________ OR r =
d = _________ OR r =
____________
____________
____________
Explicit formula:
Explicit formula:
Explicit formula:
(4) -14, 28, -56, 112…
(6) -25, -20, -15, -10…
Arithmetic or geometric?
Given the pieces of the geometric sequences below, find the requested information.
3 ... Find the common ratio.
(7) 30, 3, 130 , 100
(8) Find t7 if the 1st term of a sequence is 12 and 4th is 96.
(9) Given t3 = 4 and t5 = 41 find the common ratio, first term, the explicit formula, and the 8th term.
(10) If t2 = 24 and t6 = 1944 find the common ratio, first term, the explicit formula, and the 10th term.
(11) If t4 = 18 and t7 = 1152 find the common ratio, first term, the explicit formula, and the 15th term.
th
(12) If 5 = 1048 and t10 = 131
4 find the common ratio, first term, the explicit formula, and the 17 term.
(13) Find the four geometric means between 14 and 448.
(14) Find the three geometric means between 105 and 21
5 .