11)jumlah pinjaman = 5000000
waktu angsuran = 20 bulan
bunga pinjanman = 6%
presentase bunga yang didapatkan
= 20/12 . 6%
=10%
bunga pinjaman
=10/100 . 5000000
=500000
besar angsuran tiap bulan
= 5000000 +500000/20 bulan
=5500000/20
=275000/ bulan
9. Pola 1 (Un) : 6,20,42,72,....
Pola 2 : 14 22 30
Pola 3 : 8 8 8
Misalkan Pola ke 2 disebut A(m)
A(1) = 14, Beda = 22-14 = 8
A(m) = A(1)+Beda.(m-1)
A(m) = 14+8(m-1)
A(m) = 14+8m-8
A(m) = 6+8m
Hubungan U(n) dengan A(m) :
U(n) = U(n-1) + Jumlah suku A(m) , berlaku untuk n > 1 dan m = n-1
U(2) = U(1) + A(1)
U(3) = U(2)+A(2) = U(1)+A(1)+A(2)
U(4) = U(3)+A(3) = U(1)+A(1)+A(2)+A(3)
misalkan jumlah suku A(m) itu ∑A(m)
∑A(m) = m/2 . (A(1) + A(m))
suku ke 14 dari Un :
U(14) = U1 + ∑A(13)
U(14) = 6 + (13/2 . (A(1) + A(13))
U(14) = 6 + (13/2 . (14 + 6+8.13)
U(14) = 6 + (13/2 . (20 + 104))
U(14) = 6 + (13/2 . 124)
U(14) = 6 + 13 . 62
U(14) = 2.(3 + 13.31)
U(14) = 2.(3+403)
U(14) = 2.406 = 812
2.2. b per tahun = 6%
b per bulan = 6%.1/12 = (1/2)%
b per 20 bulan = (1/2)% . 20 = 10%
besar Bunga angsuran per 20 bulan = 5 juta . (10)%
= 500rb
besar Bunga angsuran perbulan = 500rb / 20 = 25rb
Besar angsuran per bulan = 500rb/20 + 25rb
= 250rb + 25rb
Besar angsuran per bulan = 275rb
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11)jumlah pinjaman = 5000000
waktu angsuran = 20 bulan
bunga pinjanman = 6%
presentase bunga yang didapatkan
= 20/12 . 6%
=10%
bunga pinjaman
=10/100 . 5000000
=500000
besar angsuran tiap bulan
= 5000000 +500000/20 bulan
=5500000/20
=275000/ bulan
9. Pola 1 (Un) : 6,20,42,72,....
Pola 2 : 14 22 30
Pola 3 : 8 8 8
Misalkan Pola ke 2 disebut A(m)
A(1) = 14, Beda = 22-14 = 8
A(m) = A(1)+Beda.(m-1)
A(m) = 14+8(m-1)
A(m) = 14+8m-8
A(m) = 6+8m
Hubungan U(n) dengan A(m) :
U(n) = U(n-1) + Jumlah suku A(m) , berlaku untuk n > 1 dan m = n-1
U(2) = U(1) + A(1)
U(3) = U(2)+A(2) = U(1)+A(1)+A(2)
U(4) = U(3)+A(3) = U(1)+A(1)+A(2)+A(3)
misalkan jumlah suku A(m) itu ∑A(m)
∑A(m) = m/2 . (A(1) + A(m))
suku ke 14 dari Un :
U(14) = U1 + ∑A(13)
U(14) = 6 + (13/2 . (A(1) + A(13))
U(14) = 6 + (13/2 . (14 + 6+8.13)
U(14) = 6 + (13/2 . (20 + 104))
U(14) = 6 + (13/2 . 124)
U(14) = 6 + 13 . 62
U(14) = 2.(3 + 13.31)
U(14) = 2.(3+403)
U(14) = 2.406 = 812
2.2. b per tahun = 6%
b per bulan = 6%.1/12 = (1/2)%
b per 20 bulan = (1/2)% . 20 = 10%
besar Bunga angsuran per 20 bulan = 5 juta . (10)%
= 500rb
besar Bunga angsuran perbulan = 500rb / 20 = 25rb
Besar angsuran per bulan = 500rb/20 + 25rb
= 250rb + 25rb
Besar angsuran per bulan = 275rb