(a)
\The arithmetic series of the seat is
and 
Find the common difference
.
.
Here
,
and
.
Find
.
The general form of
-terms of arithmetic series 
Substitute
,
and
in the general form.

Substitute
,
and
in the general form.

Find the
term.

Substitute
and
in the general form.

.
The arithmetic equation is 
(b)
\The total num of seats in the auditorium is
\The general form of partial sum of
-terms
.
Substitute
,
and
in the general form.

The total num of seats in the auditorium is 
(c)
\Second auditorium:
,
and
.
Find
.
The general form of
-terms of arthmetic series 
Substitute
,
and
in the general form.

The general form of partial sum of
-terms
.
Substitute
,
and
in the general form.

The total number of seats in the second auditorium is
.
(a) The arthmetic equation is
.
(b) The total num of seats in the auditorium is 
(c) The total num of seats in the auditorium is
.