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The number of seats in the first 12 rows of a high-school auditorium form an arithmetic sequence. The first row has 9 seats. The second row hass 11 seats.

 

a.) Write a recursive formula to represent the sequence.

b.) Write an explicit formula to represent the sequence.

c.) How many seats are in the 12th row?

 Mar 23, 2016
 #1
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The sequence is:  9  11   13   15 ....etc.

 

a.  If the n'th term is rn then  rn = rn-1 + 2

 

b.  The sequence can be written as 9  9+2   9+2*2   ...   9+(n-1)*2 ... etc.  so, explicitly: rn = 9 + 2(n-1)  or rn = 7+2n

 

c.  You should be able to wotk out r12 using the result in b.

 Mar 23, 2016
 #2
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Thanks!

 Mar 23, 2016

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