SOLUTION: we have to arrange chairs for the audience a in the first row we can place 20 chairs in the next 22 chairs 2 chairs can be added to each row than the previous one we have to arrang

Question 933569: we have to arrange chairs for the audience a in the first row we can place 20 chairs in the next 22 chairs 2 chairs can be added to each row than the previous one we have to arrange 50 so how many chairs are needed WE HAVE TO USE AP FORMULA
(arithmetic progression)
so how many chairs will be in the 25th row?
with thousand how many perfect rows can you make?
how many chairs will be in the last row?
what are the difference in the number of chairs for arranging 25 rows and 50 rows?
in which row 50 chairs will exist?
will you be able to make perfect rows with thousand chairs? if not how many chairs are needed to make the row perfect?
if you need to make 2 more rows how more chairs are needed?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
# of chairs in rows: 20, 22,24,26,28,30,32,34,36,38,40,42,44,46,48,50
difference

a.
how many chairs will be in the 25th row?

...chairs will be in the 25th row
b.
with chairs how many perfect rows can you make

.....# of rows you can make, since is NOT a perfect number,
the only perfect numbers between and are , , ; since , with chairs you can make only perfect rows which are rows and
c.
how many chairs will be in the last row?
the last row is :
...# chairs in the last row
d.

what are the difference in the number of chairs for arranging 25 rows and 50 rows?
...chairs will be in the 25th row

the difference in the number of chairs for arranging rows and rows is
or, since the difference in the number of chairs for arranging between two rows is 2 chairs, then
between rows and will be
e.
in which row chairs will exist?

.....row in which chairs will exist
f.
will you be able to make perfect rows with thousand chairs? if not how many chairs are needed to make the row perfect?
from c. we know that
and is not perfect row because is NOT a perfect number
first perfect number is (see b.); so we need 5more rows or 10 more chairs

g.
if you need to add more rows you will have rows
as given,for each additional row you need more chair; so, to make more rows you will need more chairs to row which is ; so, we will have chairs in row #
check:

...so, we got a row number
RELATED QUESTIONS
The organizer of a school concert set up chairs in two sections. the orchestra section... (answered by checkley77)

A collection of chairs is set up into 22 rows. The first row has 96 chairs, and each... (answered by Edwin McCravy)

Alexis and Martin helped the school set chairs in rows for an assembly. They put the same (answered by lynnlo)

Team a can setup chairs in the gym in 15 mins and team b can setup chairs in 20... (answered by checkley79)

In how many ways can 10 people arrange themselves I. In a row of 10 chairs? II. In a... (answered by stanbon)

In how many ways can we seat 3 pairs of siblings in a row of 10 chairs, so that nobody... (answered by CPhill,ikleyn,Edwin McCravy)

Melvin needs to set up 182" chairs in a rectangular pattern for a convention. The number... (answered by Fombitz)

Organizers for a high school graduation have set up chairs in two sections. They put 126... (answered by JulietG)

There are 6 chairs in a row. There are 11 students. How many ways can these students sit... (answered by stanbon)