Jawaban:
==> Suku Ke 10 <==
U10 = a + ( n - 1 )b
= a + ( 10 - 1)b
= a + 9b
= 3 + 9(5)
= 3 + 45
= 48
==> Jadi U10 = 48 <==
U1 = 3
U2 = 8
U3 = 15
Un = an² + bn + c
U1 = a(1)² + b(1) + c
a + b + c = 3 ..... (1)
U2 = a(2)² + b(2) + c
4a + 2b + c = 8 ..... (2)
U3 = a(3)² + b(3) + c
9a + 3b + c = 15 ..... (3)
eliminasi (2) dengan (1) :
4a + 2b + c = 8
a + b + c = 3
____________-
3a + b = 5 ..... (4)
eliminasi (3) dengan (2) :
9a + 3b + c = 15
_____________-
5a + b = 7 ..... (5)
eliminasi (5) dengan (4) :
5a + b = 7
3a + b = 5
________-
2a = 2
a = 1
substitusi a ke 4
3(1) + b = 5
b = 5 -3
b = 2
substitusi a dan b ke (1)
1 + 2 + c = 3
c = 0
Un = n² + 2n
U10 = 10² + 2(10)
U10 = 100 + 20
U10 = 120
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Jawaban:
==> Suku Ke 10 <==
U10 = a + ( n - 1 )b
= a + ( 10 - 1)b
= a + 9b
= 3 + 9(5)
= 3 + 45
= 48
==> Jadi U10 = 48 <==
U1 = 3
U2 = 8
U3 = 15
Un = an² + bn + c
U1 = a(1)² + b(1) + c
a + b + c = 3 ..... (1)
U2 = a(2)² + b(2) + c
4a + 2b + c = 8 ..... (2)
U3 = a(3)² + b(3) + c
9a + 3b + c = 15 ..... (3)
eliminasi (2) dengan (1) :
4a + 2b + c = 8
a + b + c = 3
____________-
3a + b = 5 ..... (4)
eliminasi (3) dengan (2) :
9a + 3b + c = 15
4a + 2b + c = 8
_____________-
5a + b = 7 ..... (5)
eliminasi (5) dengan (4) :
5a + b = 7
3a + b = 5
________-
2a = 2
a = 1
substitusi a ke 4
3a + b = 5
3(1) + b = 5
b = 5 -3
b = 2
substitusi a dan b ke (1)
a + b + c = 3
1 + 2 + c = 3
c = 0
Un = an² + bn + c
Un = n² + 2n
U10 = 10² + 2(10)
U10 = 100 + 20
U10 = 120