Pre-Calculus - Eduware

VII. SEQUENCES AND SERIES 1. Sequences
C. Geometric Sequences
2093. What is the multiplying factor of the the following
geometric sequence?
2102. Find the 17 th term of the geometric sequence with starting
term 2 and common ratio 2.
(1) 65536 (3) 443298
(2) 131072 (4) 143202
(1) 2 (3) –1
(2) 1 (4) 0.5
2094. What is the multiplying factor of the the following
geometric sequence?
2 –0.5
2095. The sequence a n
= {2, 4, 8, 16, 32, 64, ...} is geometric.
What is the ratio between any two consecutive terms?
1 : 2
2096. Determine if the sequence
2103. Find the 12 th term of the geometric sequence with starting
term 5 and common ratio 3.
(1) 2958629 (3) 885735
(2) 586903 (4) 2657205
2104. Find the formula for the n th term of the geometric sequence
with
a 1
= 1
4
r= 1
2
(1) a n
= 1 2
(2) a n = 1
4
(3) a n
= 1
8
(4) a n
= 1
8
1
2 •1 1n
4
4 •1 1n
2
n
2105. Write the n th term of the geometric sequence with starting
term 3 and common ratio 1
5 .
is geometric.
It is not geometric.
2097. Determine if the given sequence is geometric.
It is not geometric.
2098.Write the first five terms of the geometric sequence;
a 1
= 4
r = 1
4 .
2099.Given that the 3 rd term of a geometric sequence is 343 and
the fourth is 2401, what is the common ratio?
(1) 6 (3) 8
(2) 7 (4) 9
2100.Given that the fourth term of a geometric sequence is 12
and the third is 48, find the common ratio.
(1) 1 (3) 3
(2) 2 (4) 4
2106. A principal of $2000 is invested at 10% interest. Find the
amount after 10 years if the interest is compounded
a) annually
b) biannually
c) quarterly
d) monthly
e) daily
a)$5187.48
b)$5306.60
c)$5370.13
d)$5414.08
e)$5435.82
2107. A principal of $2500 is invested at 12%. Find the amount
in the account after 20 years if the interest is compounded
a) annually
b) semiannually
c) quarterly
d) monthly
a) $24115.73
b) $25714.29
c) $26602.23
d) $27231.38
2101.Find the first five terms of the geometric sequence with;
r = 4
a 1
=12
12, 48, 192, 768, 3072
© 1998-2006 Eduware, Inc.
215