8+11+14+...+(3n+5) = n/2 (3n+13) dalam induksi matematika
Matematika
ridhop6333
Pertanyaan
8+11+14+...+(3n+5) = n/2 (3n+13)
dalam induksi matematika
dalam induksi matematika
1 Jawaban
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1. Jawaban fdwir12
8+11+14+...+(3n+5) = n/2 (3n+13)
* n = 1
8 = 1/2 (3(1)+13)
8 = 1/2 (16)
8 = 8 (terbukti)
* n = n
8+11+14+...+(3n+5) = n/2 (3n+13)
* n = n+1
8+11+14+...+(3n+5)+(3(n+1)+5) = n+1/2 (3(n+1)+13)
n/2(3n+13)+(3n+8) = n+1/2 (3n+16)
3n kuadrat+13n+6n+16 = 3n kuadrat+16n+3n+16
3n kuadrat+19n+16 = 3n kuadrat+19n+16 (terbukti)