Graphics Reference
In-Depth Information
Stage3
Stage4
This process is continued indefinitely.
(a) What is the number of sides of the
n
th polygon?
(b) Show that
p
.
(c) Show that, in making the(
n
1)th polygon, each little
triangle being adjoined has area (
p
)
A
.
(d) Show that
A
.
(e) Prove (from chapter 1 qn 3(vi)) that
A
(
)(
)
A
(
)
1
1
(
)
...
(
)
1
.
(f) Provethat (
A
)
A
as
n
.
)
as
n
.
83 The two big ideas of this chapter have been null sequences and
convergence. For each of these notions write down (a) some (varied)
examples, (b) some theorems and (c) some related ideas. Then look
back at the summaries to see what you left out, and whether you
wish to revise your opinion as to which ideas are the most
important.
(g) Provethat (
p
