Unit 5 test

Question 0

S = n ( a + a )
n 1 2
___________
2

Answer 0

• To find the sum of a # term
  Sum of the first n term of arithmetic sequence
• a Get it by using a = a + (n-1) d
  2 n 1

Question 1

a = a + (n - 1) d

n 1

Answer 1

Rule for arithmetic sequence

• how much it adds or subtract
• n= number of terms

Question 2

n-1
a = a r
n 1

Answer 2

Rule for a geometric sequence

r= multiply or divide

Question 3

n
S = a (1- r)
   n    1
  \_\_\_\_\_\_\_\_\_\_\_
         1-r

Answer 3

r does not equal 1

Sum of finite geometric series

Question 4

S= a
1
_________
1- r

Answer 4

r < conver
r > diverges
Sum of infinite geometric series

Question 5

What is the binomial theorem ?

!

Answer 5

C n!
n r ________
r! ( n-1) !

Question 6

Pascal’s triangle

Answer 6

1
                           1    1           
                         1   2   1
                       1  3   3   1
                     1  4   6   4  1
                   1  5 1 0 1 0 5 1

Question 7

Series

Answer 7

When the term in a sequence are added, the resulting expression is a series

Question 8

Sequence

Answer 8

Is an ordered set of # each # in the sequence is a term of a sequence. May be infinite and may be limited # of term.

Question 9

Example : find the seventh term of (x+2) ^ 10 ?
n-r r
n= ? C X Y
x= ? n r
y = ?
r = ?

Answer 9

4 6 n!
C X Y __________
10 6 r! (n-r) !