Tentukan jumlah bilangan pada masing masing barisan berikut: 1. 1,8,15,22...92 2. 4,13,22,31...157
Matematika
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Pertanyaan
Tentukan jumlah bilangan pada masing masing barisan berikut: 1. 1,8,15,22...92 2. 4,13,22,31...157
1 Jawaban
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1. Jawaban XxmayuxX
1. a = 1
b = 7
Un = a + (n-1) b
92 = 1 + (n-1)7
92 = 1 + 7n - 7
98 = 7n
12 = n
Sn = n/2 (2a + (n-1)b)
S12 = 12/2 (2.1 + (12-1)7)
= 6 (2 + 77)
= 6 . 154 = 924
2. a = 4
b = 9
157 = 4 + (n-1) 9
157 = 4 + 9n - 9
162 = 9n
n = 18
S18 = 18/2 (2.4 + (18-1) 9)
= 9 (8 + 153)
= 9 . 161 = 1449