Răspuns:
Explicație pas cu pas:
a)
3 + 6 + 9 +... + 36 = 3*(1 + 2 + 3 + 12) = 3*12*13/2 = 234
x = 5^234
y = (5^47)^5 = 5^235
x < y ⇒ x > y fals
b)
x = 2^10000 = (2^10)^1000 = 1024^1000
y = 10^3000 = (10^3)^1000 = 1000^1000
x > y adevarat
c)
x = n^2006 = n^2*n^2004
y = n^2004 + n^2005 = n^2004*(1 + n)
n^2 > n + 1
x > y adevarat
