(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 .