Răspuns :
Răspuns:
[tex]\color{CC0000}\huge \boxed{\bf A = 32 \: \vdots \: 16}[/tex]
[tex]\color {DarkBlue}\huge\boxed{\bf B = {7}^{n} \cdot {2}^{2} \cdot \: {10}^{2} \: \: \vdots \: \: 10 }[/tex]
Explicație pas cu pas:
Bună!
[tex] \bf (a) \: \: A = {1}^{2007} + {2}^{2} + {3}^{3} [/tex]
[tex] \bf A = 1 + 4 + 27[/tex]
[tex]\color {CC0000} \boxed{ \boxed{\bf A = 32 \: \vdots \: 16}}[/tex]
[tex] \bf (b) \: \: B = {7}^{n} + {7}^{n + 1} + {7}^{n + 2} + {7}^{n + 3} [/tex]
[tex] \bf B = {7}^{n} \cdot({7}^{n - n} + {7}^{n + 1 - n} + {7}^{n + 2 - n} + {7}^{n + 3 - n} )[/tex]
[tex] \bf B = {7}^{n} \cdot({7}^{0} + {7}^{1} + {7}^{2} + {7}^{3} )[/tex]
[tex] \bf B = {7}^{n} \cdot(1+ 7 + 49 + 343 )[/tex]
[tex] \bf B = {7}^{n} \cdot 400[/tex]
[tex] \bf B = {7}^{n} \cdot 4 \cdot \: 100[/tex]
[tex] \color {DarkBlue} \boxed {\boxed{\bf B = {7}^{n} \cdot {2}^{2} \cdot \: {10}^{2} \: \: \vdots \: \: 10 }}[/tex]
==pav38==