Could you please prove the following equation from Arithmetic Progressions?
If #a_1# , ... , #a_n# are in AP where, #a_i > 0# for all #i# , then show that
#1/(sqrt(a_1)+sqrt(a_2))+1/(sqrt(a_2)+sqrt(a_3))+....+1/(sqrt(a_n-1)+sqrt(a_n))= (n-1)/(sqrt(a_1)+sqrt(a_n))# .
If
1 Answer
Feb 25, 2018
See below.
Explanation:
If the sequence
and then
but