Penjelasan dengan langkah-langkah:
U₃ = 15
U₃ = a + 2b
a + 2b = 15.............(1)
U₇ = 31
U₇ = a + 6b
a + 6b = 31.............(2)
eliminasi (2) dan (1)
a + 6b = 31
a + 2b = 15
---------------- --
0 + 4b = 16
b = 16/5
b = 4 .......(beda)
a + 2(4) = 15
a = 15 - 8
a = 7.......(suku pertama )
Sn = n/2[ 2a + (n - 1)b ]
jumlah 80 suku pertama (S₈₀)
S₈₀ = 80/2[ 2(7) + (80 - 1)(4) ]
S₈₀ = 80/2[ 14 + (79)(4) ]
S₈₀ = 40 [ 14 + 316]
S₈₀ = 40 x 330
S₈₀ = 13.200
Jawab:
a. beda
= 7 - 3 = 4
= (u7-u3) : 4
= (31 - 15) : 4
= 16 : 4
= 4
b. suku pertama
u3= a + (n-1)b
15 = a + (3-1)4
15 = a + 8
a = 7
c. jumlah 80 suku pertama
u80 = a + (n-1)b
u80 = 7 + (80-1)4
u80 = 7 + 316
u80 = 323
s80 = n (a +u80)
s80 = x 80 (7 +323)
s80 = 40 (330)
s80 = 13.200
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Penjelasan dengan langkah-langkah:
U₃ = 15
U₃ = a + 2b
a + 2b = 15.............(1)
U₇ = 31
U₇ = a + 6b
a + 6b = 31.............(2)
eliminasi (2) dan (1)
a + 6b = 31
a + 2b = 15
---------------- --
0 + 4b = 16
b = 16/5
b = 4 .......(beda)
a + 2b = 15
a + 2(4) = 15
a = 15 - 8
a = 7.......(suku pertama )
Sn = n/2[ 2a + (n - 1)b ]
jumlah 80 suku pertama (S₈₀)
S₈₀ = 80/2[ 2(7) + (80 - 1)(4) ]
S₈₀ = 80/2[ 14 + (79)(4) ]
S₈₀ = 40 [ 14 + 316]
S₈₀ = 40 x 330
S₈₀ = 13.200
Jawab:
a. beda
= 7 - 3 = 4
= (u7-u3) : 4
= (31 - 15) : 4
= 16 : 4
= 4
b. suku pertama
u3= a + (n-1)b
15 = a + (3-1)4
15 = a + 8
a = 15 - 8
a = 7
c. jumlah 80 suku pertama
u80 = a + (n-1)b
u80 = 7 + (80-1)4
u80 = 7 + 316
u80 = 323
s80 = n (a +u80)
s80 = x 80 (7 +323)
s80 = 40 (330)
s80 = 13.200