Since it doesn't look like you're very good at math, we're going to start from the beginning.
Please count out loud:
1 ...
2 ...
3 ...
4 ...
5
Good job! You're a real mathematician!
Now let's get on to more interesting stuff...
The sum
Sn
of the first
n
terms of the sequence
a1, a2, ...
of positive real numbers satisfies the equation
an + (1/an) = 2Sn
for
n
= 1, 2,... Find a formula for the general term
an
.
Let
P
be a point on the bisector of an angle
BAC
. Let
l
be any line passing though
P
. Assume that
l
intersects the rays
AB
and
AC
and
X
and
Y
, respectively. Show the quantity 1/(
AX
) and 1/(
AY
) does not depend on the choice of
l
.