dik u3=9 u7=21 tentukan beda,u1 dan u15
Matematika
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Pertanyaan
dik u3=9 u7=21 tentukan beda,u1 dan u15
2 Jawaban
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1. Jawaban Arifstya01
U3 = 9
U7 = 21
Un = a + (n-1)b
U3 = a + 2b = 9
U7 = a + 6b = 21
_____________ _
-4b = -12
b = -12/-4
b = 3
Lalu, kita ambil salah satu persamaan :
a + 2b = 9
a + 2(3) = 9
a = 9 - 6
a = 3
U15 = a + 14b
U15 = 3 + 14(3)
U15 = 3 + 42
U15 = 45
Semoga membantu :) -
2. Jawaban AlfandyGulo
▶MAPEL : MATEMATIKA
▶KELAS : IX
▶BAB : BARISAN & DERET
----------------------------------------
Diketahui :
↪U3 = 9
↪U7 = 21
Ditanya :
↪beda barisan
↪U1 (a)
↪U15
Jawaban :
==========
→ Beda barisan
U7 - U3 = 21 - 9
7b - 3b = 12
4b = 12
b = 12/4
b = 3 ✔
→ Suku Pertama (a)
U3 = 9
a + (3-1)b = 9
a + 2(3) = 9
a + 6 = 9
a = 9 - 6
a = 3 ✔
→ Suku ke 15
U15 = a + (n-1)b
U15 = 3 + (15-1)(3)
U15 = 3 + 14(3)
U15 = 3 + 42
U15 = 45 ✔