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Mathematics, 06.07.2021 05:10 yselahernandez02
17. (a) Sebuah bekas mengandungi beberapa guli merah, kuning, dan biru. Nisbah bilangan guli merah kepada guli kuning kepada guli biru ialah 5:4:1. Jika 2 biji guli biru ditambah ke dalam bekas itu, maka 10 biji guli merah dan 8 biji guli kuning perlu ditambah ke dalam bekas supaya dapat mengekalkan nisbah yang sama. Jika 3 biji guli biru dĂtambah ke dalam bekas itu, maka 15 biji guli merah dan 12 biji guli kuning perlu ditambah ke dalam bekas supaya dapat mengekalkan nisbah yang sama.
i. Buat satu kesimpulan umum secara induktif bagi jumlah bilangan guli merah dan kuning yang perlu dimasukkan apabila n biji guli biru dimasukkan ke dalam bekas supaya dapat mengekalkan nisbah yang sama dengan keadaan n>0.
ii. Seterusnya, hitung jumlah bilangan guli yang perlu dimasukkan jika 9 biji guli biru dimasukkan ke dalam bekas itu supaya dapat mengekalkan nisbah yang sama.
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