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1. Write the first five terms fo the sequence defined recursively:

a (small) 1 = 6, a (small) 'k+1 = a (small) k  +1

 

 

 

 

 

 

2. For the series 'infinity'

                              E           5/10      find (a) the third partial sum and (b) the sum

                            n=1

 Aug 27, 2016
 #1
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1. Write the first five terms fo the sequence defined recursively:

a (small) 1 = 6, a (small) 'k+1 = a (small) k  +1

I think that you mean

a subtext1 =6           a subtext(k+1) =a subtext(k)   +1                 laugh

 

\(a_1=6,\qquad a_{k+1}=a_k+1\\~\\ a_1=6\\ a_2=6+1=7\\ a_3=7+1=8\\ a_4=8+1=9\\ a_5=10\)

 

 

2. For the series 'infinity'

                              E           5/10      find (a) the third partial sum and (b) the sum

                            n=1

 

\(\displaystyle\sum_{n=1}^{\infty}\;\;\frac{1}{2}\)

 

this makes no sense, there must be an   'n' in with the 1/2 somewhere  ........

 Aug 27, 2016
 #2
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so sorry, for the second question it is 5/10 'subtext' n

 Aug 27, 2016
 #3
avatar+118608 
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Still doesn't make sense.  is it   (1/2)^ n   perhaps

 

that is

 

\(\frac{1}{2^n}\)   

Melody  Aug 27, 2016

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