Problema Solution
A theater has 39 seeats in the first row, 42 seats in the second row, 45 seats in the third row; and so on.
(a)Can the number of seats in each row be modeled by and arithmetic or geometric sequence?
(b) Write the term for a sequence a that gives the number of seats in row
n
n.
(c)How many seats are in row 15?
A. what type of sequence is present?
B.a =
n
C.There are__ seats in row 15.
Answer provided by our tutors
a) The sequence is arithmetic sequence.
b) No of seats in nth row is = (n/2)(2a+(n-1)d)
c) No of seats in 15th row is caluculated by above formula,
Here n=15, a= sets in first row=39, d=(42-39)=3
By substituting seats in first row= (15/2)((2*39)+(3*14))=900
So seats in 15th row=900