SOLUTION: A field house has a section where the seating can be arranged so the first row has 9 seats, the second row has 11 seats, the third row has 13 seats and so on. If there is sufficien

Algebra.Com
Question 1082361: A field house has a section where the seating can be arranged so the first row has 9 seats, the second row has 11 seats, the third row has 13 seats and so on. If there is sufficient space for 26 rows in the section, how many seats are in the last row of the section?
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
9 + 25*2 = 59.

It is an arithmetic progression/sequence with the first term 9 and the common difference of 2.
They ask you about the 26-th term of the progression.


There is a bunch of introductory lessons on arithmetic progressions in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".


RELATED QUESTIONS

The seating section in a theater has 19 seats in the first row, 21 seats in the second... (answered by greenestamps)
A classroom has stadium seating. There are 10 seats in the first row, 13 seats in the... (answered by ewatrrr)
An auditorium has.7 seats in the first row. 11 seats in the second row.15 seats' I n... (answered by fractalier)
a conference hall has 20 rows of seats .the first row contains 20 seats,the second row... (answered by ikleyn)
A theater has 37 seats in the first row, 41 seats in the second row, 45 seats in the... (answered by jim_thompson5910)
A theater has 49 seats in the first row, 53 seats in the second row, 57 seats in the... (answered by stanbon)
A theater has 45 seats in the first row, 49 in the second row, 53 seats in the third row... (answered by josmiceli)
a 40 row theater has 10 seats in the front row. the second row has 11 seats. if each row... (answered by josmiceli)
the numbers of seats in the first 12 row of a high school auditorium form an aritmetic... (answered by Herdaysoji)