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1.

Uₙ = 8n – 3

U₁ = (8 × 1) – 3 = 8 – 3 = 5

U₂ = (8 × 2) – 3 = 16 – 3 = 13

U₃ = :8 × 3) – 3 = 24 – 3 = 21

U₄ = (8 × 4) – 3 = 32 – 3 = 29

U₅ = (8 × 5) – 3 = 40 – 3 = 37

Jadi lima suku pertama : 5, 13, 21, 29, 37

2.

Uₙ = 17n + 24

U₁ = (17 × 1) + 24 = 17 + 24 = 41

U₂ = (17 × 2) + 24 = 34 + 24 = 58

U₃ = (17 × 3) + 24 = 51 + 24 = 75

U₄ = (17 × 4) + 24 = 68 + 24 = 92

U₅ = (17 × 5) + 24 = 105 + 24 = 129

Jadi lima suku pertama : 41, 58, 75, 92, 129

3.

Uₙ = 9n – 4

Jika Uₙ = 176, maka :

9n – 4 = 176

9n = 176 + 4

9n = 180

n = 180 : 9

n = 2

4.

4, 11, 18, 25, 32, …

=> barisan aritmatika, suku awal ( a ) = 4 dan beda ( b ) = +7

Maka :

Uₙ = a + (n – 1)b

Uₙ = 4 + (n – 1)(7)

Uₙ = 4 + 7n – 7

Uₙ = 7n – 3

Jika Uₙ = 557, maka :

7n – 3 = 557

7n = 557 + 3

7n = 560

n = 560 : 7

n = 80

5.

Uₙ = –3n + 7

Jika Uₙ = –203, maka :

–3n + 7 = –203

–3n = –203 – 7

–3n = –210

n = –210 : –3

n = 70