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f:R→R
f(x)=2x-4
Calculati: f(0)+f(1)+...+f(10)


Răspuns :

Răspuns:

Explicație pas cu pas:

f(x) = 2 x - 4

f(0) = 2 × 0 - 4 = - 4

f(1) = 2 × 1 - 4 = - 2

f(2) = 2 × 2 - 4 = 0

f(3) = 2 × 3 - 4 = 2

f(4) = 2 × 4 - 4 = 4

f(5) = 2 × 5 - 4 = 6

f(6) = 8

f(7) = 2 × 7- 4 = 10

f(8) =12

f(9) = 14

f(10) = 16

______________________

f(0) + f(1) + f(2) + f(3) + ....... + f(10) = 66

= - 4 - 2 + 0 + 2 + 4 + 6 + ...... + 14 + 16 =

= - 6 + 2 × ( 1 + 2 + 3 + ..... + 8) =

= - 6 + 2 × 8 × 9 : 2 =

= - 6 + 72 =

= 66