Question

Sa se arate ca f(2)+f(2^3)+....f(2^6) este pătrat perfect
Urgent !!!!!

Answer 1

Răspuns:

Roaga pe cineva sa verifice. Nu stiu daca am gandit bine.

Explicație pas cu pas:

F(x)=x+3

f(2)= 2+3=5

f(2)+ f(2^3)+ ......f(2^6)=

f(2)+ f(2^3)+ f(2^4)+ f(2^5)+ f(2^6)=

F(2^4)= f(2^3) orif(2)

F(2^5)= f(2^2)ori f(2^2)

F(2^6)= f(2^3)ori f(2^3)

Deci

5+ f(2^3) ori ( 1+ f(2)+ f(2^2)+ f(2^3))=

F(2^3)= 11

F(2)= 5

F(2^2)= 7

5+ 11 ori ( 1+5+7+11)=

= 5+11 ori (13+11)=

= 5+ 11 ori 24=

= 5+264=269

13^2=269