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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 has 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.

plz help me ASAP it's a math question not chemistry

Respuesta :

a) The recursive formula for the number of seats in the n th row will be; 
S1 = 9
S(n) = S (n-1) +2 

b) Explicit formula; is that of an arithmetic progression; such that if a is the first term , and d is the common difference , then the n th term will be given by the formula:  a + (n-1) d; where a is 9, and d is 2
Hence; for n th row = 9+ 2(n-1)

c) Number of seats in 12 th row using the formula in b.
 n = 12 , a = 9, d = 2
therefore; 9 + 2(12-1)
              = 9 + 2(11)
              = 31 seats 
pstnonsonjoku

There are 31 seats in the 12th row.

a) The first question is to obtain the recursive formula so we will have;

S1 = 9

S(n) = S (n-1) +2

b) To obtain the explicit formula of the arithmetic progression

Where;

a= first term

d =common difference

It then follows that the n th term is given by  a + (n-1) d

So;

a = 9, and

d= 2

For n th row = 9+ 2(n-1)

c)the number of seats in 12 th row can be obtained by;

9 + 2(12-1)

= 9 + 2(11)

= 31 seats

Learn more about recursive formula: https://brainly.com/question/1301963

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