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Yasemine1
a fost răspuns

f(x)=2x+1. Demonstrati ca a= f(1)+f(2)+...+f(10) este patrat perfect.

Răspuns :

f(x)=2x+1
f(0)=2*0=1
f(1)=2*1+1
f(2)=2*2+1
...
f(10)=2*10+1
f(0)+f(1)+f(2)+f(3)+...+f(10)=2*0+1+2*1+1+2*2+2+...+2*10+1=1*11+2*1+2*2+2*3+...+2*10=11+2(1+2+3+...+10)=11+10*11=11*11=11^2 -pp

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