Penjelasan dengan langkah-langkah:
u2 = 24
u2 = a + (n-1) b
24 = a + (2-1) b
24 = a + b (pers 1)
u5 = 3
u5 = a + (n-1) b
3 = a + (5-1) b
3 = a + 4b (pers 2)
eliminasi pers 1 dgn 2
a + b = 24
a + 4b = 3
—————— -
-3b = 21
b = 21 / -3
b = -7
substitusi b = -7 ke salah satu persamaan
a + (-7) = 24
a = 24 + 7
a = 31
Sn = n/2 ( 2a + (n-1) b)
S5 = 5/2 ( 2 (31) + (5-1) (-7))
S5 = 5/2 ( 62 - 28)
S5 = 5/2 (34)
S5 = 5 × 17
S5 = 85
jadi jumlah 5 suku pertama deret tersebut adalah 85
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Penjelasan dengan langkah-langkah:
u2 = 24
u2 = a + (n-1) b
24 = a + (2-1) b
24 = a + b (pers 1)
u5 = 3
u5 = a + (n-1) b
3 = a + (5-1) b
3 = a + 4b (pers 2)
eliminasi pers 1 dgn 2
a + b = 24
a + 4b = 3
—————— -
-3b = 21
b = 21 / -3
b = -7
substitusi b = -7 ke salah satu persamaan
a + b = 24
a + (-7) = 24
a = 24 + 7
a = 31
Sn = n/2 ( 2a + (n-1) b)
S5 = 5/2 ( 2 (31) + (5-1) (-7))
S5 = 5/2 ( 62 - 28)
S5 = 5/2 (34)
S5 = 5 × 17
S5 = 85
jadi jumlah 5 suku pertama deret tersebut adalah 85