To now the real sequence in the
follwing image :
a_1 =1 ,a_2 =2
a_(nk +1) = ((a_(2k−1) +a_(2k) )/2) ∀ k ∈ Z^+
a_(2k+2) = (√(a_(2k) a_(2k+1) ))
then
prove that : lim_(n→∞) a_n = ((3(√3))/π)
Dear Forum-Friends
There′s a trend to make
answers short in the forum.
To follow this trend some
friends are omitting key-steps
and for this reason the answers
become difficult to
understand and
many readers like me
are compelled to leave out
such answers at the price of
no-understanding!!!
So please omit only
calculation steps in order to
make your answers
short-&-understandable.
solve for real values of x the equation
4(3^(2x+1) )+17(3^x )=7.
if m and n are positive real numbers other
than 1, show that the log_n m+log_(1/m) n=0