9 Sabrina mula menyimpan RM1 pada hari pertama, RM4 pada hari kedua dan menyimpan lebihan RM3 pada hari berikutnya. [IP4 BTms.84-86 Sabrina starts to save RM1 on the first day, RM4 on the second day and saves extra RM3 on the subsequent days. (a) Buat kesimpulan secara aruhan (induktif) terhadap simpanan pada hari ke- $$ n $$. Make a conclusion by induction on the savings on the $$ n^{ ext {th }} $$ day. [3 markah/marks] (b) Hitung jumlah simpanannya selepas 100 hari. Calculate her total savings after 100 days. [5 markah/marks]

Question

9 Sabrina mula menyimpan RM1 pada hari pertama, RM4 pada hari kedua dan menyimpan lebihan RM3 pada hari berikutnya. [IP4 BTms.84-86 Sabrina starts to save RM1 on the first day, RM4 on the second day and saves extra RM3 on the subsequent days. (a) Buat kesimpulan secara aruhan (induktif) terhadap simpanan pada hari ke- $$ n $$. Make a conclusion by induction on the savings on the $$ n^{	ext {th }} $$ day. [3 markah/marks] (b) Hitung jumlah simpanannya selepas 100 hari. Calculate her total savings after 100 days. [5 markah/marks]

UpStudy AI · Accepted Answer

(a) Simpanan Sabrina pada hari ke- $$ n $$ adalah: $$ S(n) = \begin{cases} 1 & \text{jika } n = 1 \ 4 & \text{jika } n = 2 \ 4 + 3(n - 2) & \text{jika } n \geq 3 \end{cases} $$ (b) Jumlah simpanan Sabrina selepas 100 hari adalah RM14,950.

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