Răspuns:
a = 31
b = 2
c = 2
Explicație pas cu pas:
[tex]\sqrt{2} +\sqrt{2} ^{2} +\sqrt{2} ^{3} +...+\sqrt{2} ^{9} +\sqrt{2} ^{10} =[/tex]
[tex]=\sqrt{2} +2 +2\sqrt{2} +4+4\sqrt{2} +8+8\sqrt{2} +16+16\sqrt{2}+32=[/tex]
[tex]=2+4+8+16+32 + \sqrt{2} (1 + 2+4+8+16)=[/tex]
[tex]=62+ 31\sqrt{2}=[/tex]
[tex]=31(2+\sqrt{2} )[/tex]
a = 31
b = 2
c = 2
