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U2 : u7 = 4 : 9
(a + b) : ( a + 6b) = 4 : 9
(2 + a) : ( 12 + a) = 4 : 9
9(2+a) = 4(12 + a)
18 + 9a = 48 + 4a
9a - 4a = 48 - 18
5a = 30
a = 30/5
a = 6
1) Un = bn + a - b
Un = 2n + 6 - 2
Un = 2n + 4
Un = 2(n+2)
2) barisannya :
6, 8, 10, 12, 14, ...
3) Sn = n/2 ( a + Un )
Sn = n/2 ( 6 + 2n + 4 )
Sn = n(10 +2n)/2
Sn = n(n +5)
4) misal n = 10
maka
U1 + U2 + u3 + ... + u10 = S10
6+8+10+...+24 = 10(10+5)
10/2 x (6+24) = 10 x 15
5 x 30 = 150
terbukti