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U6= 486~> ar*5 = 486
----------------------- ÷
r*3 = 27... r = 3
a = ar*2 = 18
= a(3)*2 = 18
= a(9) =18 ... a= 2
38) U1= a = 16
B=6
U12= a+(n-1)b
= 16+(11)6
= 16+66 = 82
37) Un= a+(n-1)b
= 5+(n-1)4
= 5+4n-4
= 4n+1
36) C
35) (akar 5 + akar 3) ×(akar 5 + akar)
@ 5 + akar 15 + akar 15 + 3
@ 8 + 2 akar 15
34) 3*-3 × 3*2
= 3*(-3+2)
= 3*-1
= 1/3
31) 7+9+12+8+10+15+18+14+16+ x = 12 × 10
@ 109 + x = 120
@ × = 11
30) s*2 =16
s= 4cm
Luas permukaan kubus :
6 × s*2
= 6 × (4)*2
= 6 × 16 = 96cm2
29) Luas permukaan kubus :
6 × s*2
@ 486 = 6 × s*2
@ s*2 = 81
@ s = 9 cm
Volume kubus :
s*3
@ (9)*3 = 729cm*3
28) Keliling = 2 × (2s)
36 = 2 × 2s
@ 2s = 18
@ s = 9cm
volume kubus :
s*3
@ (9)*3 = 729cm*3
25) keliling lingkaran = phi × d
@ 62,8 =3,14 × d
@ D = 20cm... r= 10cm
Modus adalah angka yang sering muncul
Jadi, modus = 5
Median adalah nilai tengah
Jadi, median (5 + 6) : 2 = 5,5
Jawaban b.
Jawaban c.
Jawaban a.
36.) a. 1, 2, 3, 5, 8 ... (fibonacci)
b. 2, 2, 4, 6, 10 ... (fibonacci)
c. 2, 3, 5, 8, 12 ... (bukan fibonacci)
Jadi, jawaban C.
37.) Diketahui :
a = 5
b = 4
Maka :
Un = a + (n - 1)b
Un = 5 + (n - 1)4
Un = 5 + 4n - 4
Un = 4n + 1
Jawaban C.
38.) Diketahui :
a = 16
b = 6
Maka :
Un = a + (n - 1)b
U12 = 16 + (12 - 1)6
U12 = 16 + (11)6
U12 = 16 + 66
U12 = 82
Jawaban a.
39.) Diketahui :
S11 = 110
a = 30
Maka :
Sn = n/2 (2a + (n - 1)b)
S11 = 11/2 (2(30) + (11 - 1)b)
S11 = 11/2 (60 + 10b)
110 = 11/2 (60 + 10b)
110 = 330 + 55b
110 - 330 = 55b
-220 = 55b
-220 / 55 = b
-4 = b
Jawaban b.
40.) Diketahui :
U3 = 18 ⇒ 18 = ar²
U6 = 486 ⇒ 486 = ar⁵
Maka :
ar² = 18
a = 18/r²
masukan nilai a :
ar⁵ = 486
(18/r²)r⁵ = 486
18r³ = 486
r³ = 486/18
r³ = 27
r =
r = 3
masukan nilai r :
a = 18/r²
a = 18/3²
a = 18/9
a = 2
Jadi, suku pertamanya adalah 2
Jawaban a.