PROBLEM 8.3 Exercise Set: Problem #42 Find The Sum, If It Exists.

PROBLEM #42: Find the sum, if it exists.

 

 

 

 

 

 

Example:

 

nth term of a Geometric Sequence 

 

Find the Sum. 

 

 

Answer. Rewrite as 

 

 

Where . 

 

 

 

 

(THERE MAY BE A TYPO IN THIS ANWER. I think it is supposed to be S(lower 11 and not 51)

1

22

, ,

33

ar

==

11

andk

=

11

51

22

1

33

29.65

2

1

3

S

æö

æö

ç÷

ç÷

ç÷

èø

èø

==

1

1

n

n

aar

=

11

1

2

15

3

k

k

=

æö

ç÷

èø

å

(

)

11

1

1

1

2

15, now use the formula

31

n

k

n

k

ar

S

r

=

æö

=

ç÷

èø

å

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