Penjelasan dengan langkah-langkah:
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Rumus suku ke-n barisan aritmatika
[tex]\boxed{U_n = a + (n - 1) b}[/tex]
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Diketahui:
- barisan 4, 12, 20, 28, ...
- suku pertama (a) = 4
- beda (b) = 12 - 4 = 8
Ditanya:
Jawab:
Un = a + (n - 1) b
Un = 4 + (n - 1) × 8
Un = 4 + 8n - 8
Un = 8n - 4
[tex]\\[/tex]
Jadi rumus suku ke-n barisan tersebut adalah
[tex]\color{yellow}{\boxed{\sf U_n = 8n - 4}}[/tex]
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