Unit 7, Activity 3, Series and Partial Sums with Answers
Blackline Masters, Advanced Math – PreCalculus
Page 227
Louisiana Comprehensive Curriculum, Revised 2008
1. Write the formula for
t
n
, the nth term of the sequence, then find the sum of each of the
following using the algebraic formula. Verify your answers with the calculator.
a) The first 10 terms of
1
1
3
1
9
1
27
−+− +
...
The formula is
t
n
n
=−
F
H
G
I
K
J
−
1
3
1
. The sum is 1.4999
…
b)
123
1
0
444
4
++
+
+
The formula is
tn
n
=
4
. The sum is 25,333.
c) 2 + 6 + 10 +14 +……+ 30
The formula is
n
=
−
42
. The sum is 128.
2.
The chain letter reads:
Dear Friend,
Copy this letter 6 times and send it to 6 of your friends.
In twenty days you will
have good luck.
If you break this chain you will have bad luck!
Assume that every person who receives the letter sends it on and does not break the
chain.
a)
Fill in the table below to show the number of letters sent in each mailing:
1
st
mailing
2
nd
mailing
3
rd
mailing 4
th
mailing …
10
th
mailing
6
6
2
6
3
6
4
6
10
b) After the 10
th
mailing, how many letters have been sent?
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 Fall '08
 GERMAN
 Calculus, PreCalculus, Algebra, Taxation in the United States, Summation, Luck, 11th mailing

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