Question

Sa se scrie primii 5 termeni (
$a1.a2.a3.a4.a5$
)ai progresiilor artimetice:

$a)a1 = 2 \: \: \: r = 2$
$b)a1 = 2 \: \: \: r =- 2$
$c)a1 = 3 \: \: \: r = - 3$
$d)a1 = \frac{1}{256} \: \: \: r = 2$

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Answer 1

Răspuns:

Explicație pas cu pas:

a) a₁ = 2 ; r = 2

a₂=a₁+r = 2+2 = 4

a₃=a₂+r = 4+2 = 6  ; a₄ = 8 ; a₅ = 10

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b) a₁ = 2 ; r = -2

a₂=a₁+r =2-2 = 0

a₃=a₂+r =0-2 = -2  ; a₄ = -4 ; a₅ = -6

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c) a₁ = 3 ; r = -3

a₂=a₁+r = 3-3 = 0

a₃=a₂+r =0-3 = -3  ; a₄ = -6 ; a₅ = -9

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d) a₁ = 1/256   ; r = 2

a₂ = a₁+r = 1/256 + ²⁵⁶⁾2 = 513/256

a₃ = a₂+r = 513/256 + ²⁵⁶⁾2 = 1025/256

a₄ = a₃+r = 1025/256 +²⁵⁶⁾2 = 1537/256

a₅ = a₄+r = 1537/256 +²⁵⁶⁾2 = 2049/256

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