Answer:
If one amoeba dies then two amoeba get born:
at different stages of the generations of the amoeba it changes accordingly and the died amoeba numbers are also change in the given manner :
stages dies born
I 1 2
II 4 =
III 8 =
At =
By the geometric series formula:
1++
+
...+
=
so, 1++
+
...+
=
Thus, total amoeba died = -1
total amoeba died+1 = (born).... hence prooved