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20060301
Calculating the Sum of a Sequence
Perform the following steps when you want to determine the sum of a specific range of the
sequence of a recursion expression or a general term expression.
Example: To calculate the sum of the general term expression
a
n
E =
n
2
+ 2
n
– 1 in the
range of 2
n
10
S\
ClassPad Operation
(1) Start up the Sequence Editor.
• If you have another application running, tap
/
and then
.
• If you have the Sequence application running, tap
and then [Sequence Editor].
(2) Tap (or press)
, [Sequence RUN], [Calc], [
3
], [
n
,
a
n
], [
n
],
C
,
,
D
,
,
,
C
,
[
n
,
a
n
], [
n
],
:
,
,
,
, [
n
,
a
n
], [
n
],
,
.
(3) Press
.
Tip
• For information about the syntax of the “
3
” function, see “2-8 Using the Action Menu”.
6-3-6
Recursive and Explicit Form of a Sequence
Example: To obtain the
n
-th terms of a system of recursion formulas
a
n
+
1
= 3
a
n
+
b
n
,
b
n
+
1
=
a
n
+ 3
b
n
with the initial conditions
a
1
=2,
b
1
= 1