Buktikan Bahwa Pernyataan dibawah ini benar untuk n bilangan Asli . 5+8+11+ ..+(3n+2)½(3n²+7n)

5+8+11+...+(3n+2)=1/2(3n²+7n) n(1) = 3n+2=1/2(3n²+7n) 3(1)+2= 1/2(3(1)²+7(1)) 5= 5 (benar) pk= 5+8+11+...+(3k+2)=1/2(3k²+7k) (benar) pk+1= 5+8+11+...+(3k+2)+(3(k+1)+2)=1/2(3(k+1)²+7(k+1)) (3k+2)+(3k+5)=1/2(3(k+1)²+7(k+1)) 1/2(3k²+7k)+2(3k+5)=1/2(3(k+1)²+7(k+1)) 1/2(3k²+7k)+6k+10=1/2(3(k+1)²+7(k+1)) 1/2(3k2+13k+10)=1/2(3(k+1)²+7(k+1)) 1/2(3k2+6k+3+7k+7)=1/2(3(k+1)²+7(k+1)) 1/2(3(k+1)²+7(k+1))=1/2(3(k+1)²+7(k+1)) (terbukti)