Download Honors Precalculus - Clayton School District

Honors Precalculus
Chapter 14 Test Expectations

Sec. 14-1: Given a few terms in a sequence or series of numbers, find more terms.
Given a series, find the sum of a specified number of terms.

Sec. 14-2: Represent sequences explicitly and recursively. Given information about a
sequence, find a term given its term number, and find the term number of a given
term.

Sec. 14-3: Given a series, find a specified partial sum, or find the number of terms if the
partial sum is given. Use sigma notation to write partial sums. Given a power of a
binomial, expand it as a binomial series.

Use mathematical induction to prove a conjecture.

Use the ratio and/or comparison test to determine if a series converges or diverges.

Use sequence mode or the calculator recursion feature to solve situations that are
defined recursively.
You should know the following equations:
These items will be provided: (If needed)
t n  t1  n  1d
t1 

t n  t n 1  d
n
t1  t n 
2
t n  t1r n 1
Sn 
t1 

t n  t n 1  r
1  rn
Sn  t1
1 r
1
if r  1
1 r
n
 n
   an  rbr
r0  r 
lim Sn  t1
n 
a  b n
Limit 
restock value
% decrease
1 1 1 1
1
    ..   ...
2 3 4 5
n
2
2
a1  a1r  a1r  ...a1r  ...  a1r n 1  ...
1
a1  a1r  a1r 2  ...a1r 2  ...  a1r n 1  ...
a1  (a1  d)  (a1  2d)  (a1  3d)  ...
1 1
1
1
 p  p  ...  p  ..
2 3
4
n
2
3
x
x
x4
xn
x
e  1 x 
  ... 
 ..
2! 3! 4!
n!
x2 x4 x6 x8
cos x  1 



 ...
2! 4! 6! 8!
x3 x5 x7 x9
sin x  x  


 ...
3! 5! 7! 9!
1