Tentukan rumus suku ke-n Barisan: A.3,8,15,24,.... B.1,5,9,13..... C.3,4,7,12.....
Matematika
liviaflorencia
Pertanyaan
Tentukan rumus suku ke-n Barisan:
A.3,8,15,24,....
B.1,5,9,13.....
C.3,4,7,12.....
A.3,8,15,24,....
B.1,5,9,13.....
C.3,4,7,12.....
1 Jawaban
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1. Jawaban nurinsalsabila
A.
(A) 3 , 8 , 15 , 24
(B) 5 , 7 , 9
(C) 2 2
2a = (C)
2a = 2
a = 1
3a + b = (B)
3a + b = 5
3 + b = 5
b = 5 - 3
b = 2
a + b + c = ( A )
1 + 2 + c = 3
3 + c = 3
c = 3 - 3
c = 0
Rumus ke n = an²+bn+c
= n² + 2n
B.
1 , 5 , 9 , 13
4 4 4
Rumus = a + ( n - 1 ) b
= 1 + ( n - 1 ) 4
= 1 + 4n - 4
= 4n - 3
C.
(A) 3 , 4 , 7 , 12
(B) 1 3 5
(C) 2 2
2a = (C)
2a = 2
a = 1
3a + b = (B)
3 + b = 1
b = 1 - 3
b = -2
a + b + c = (A)
1 - 2 + c = 3
-1 + c = 3
c = 3 + 1
c = 4
Rumus ke n : an² + bn + 4
: n² - 2n + 4