Pre-CalculusjTrig
Lesson 14.3 Day 3 Introduction to Series
Brinkman
1. Exploration 14.3d - e
In 2 - 4, find the first four terms and the 8th term.
2.
an ~ 8, (\1-I)~
a1 = 8
an = an-l
3.
-
k
>1
.
Cl
= 2
C2
=-1
Ck+2
(
Q r\ :; \ 2 ' LPn
b1 = 2
bk+1 = 3bk,
4.
4, n;;::: 2
Q.~"--V>
=
.
0b()WlU
Ck
+
Ck+l
,
k
<t
>1
1,.'.,.£1
c,t..G'
Determine whether the sequence converges or diverges. If it converges, find its limit (the
number it approaches)
5.
6.
1,4,9,16,...n2...
1 1 1
15
1
3n-l
2-3n
7.
t =--
8.
tn
n
\dl\j{ v
2n-l
= n+l
9.
1.« t-tJf ~
cvv~J~
Give a recursive and explicit formula for the nth term.
9.6,
io. l4, l8, ... A(
f
10. -7,4,
1\
It
~a.I'l"~ y)
is. 26, ... (4, ~...
1
.,1 I'l ,.Il
L V(fI CIl
II, fl" t-
-I
11. 3,6, l2, 24, ....
«
V' •.•.1
J'I ;
3[1
}.". I
12. The fourth and seventh terms of an arithmetic sequence are -8 and 4, respectively. Find the
first term and a recursive rule for the nth term.
(4-1)'f
...... <t> ... tl, ...3-4
1\
.•. /to
"'1 , /
Ct ~
13. The second and eighth terms of a geometric sequence are 3 and 192, respectively. Find the first
term, common ratio and an explicit rule for the nth term.
3 r \0 -: it:{ 'J.--
a ~~2I
Vb;; (,~
~v
14. At a Bob Dylan concert, the first row of seating in Section J has 7 seats. In all, there are 25 rows
of seats in Section L each row containing two more seats than the row preceding it. How many seats
are in Section J?
'
2h
25 6-f'tr
-'1~
h
~
t\~1
15. Write the first seven terms of the following sequence.
a = ~ (l+..J5)n _ ~ (l-..J5)n
n
..J5
2
..J5
2