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ページ1:
138 MAT. W B. Pugi No. Sonin Date: 20-10-2025 Bad Der (un) Sathan & Barisan Deret Sumlah (total (Sn) Aritmatika Geometri Arit Geo matika metri BARISAN @Aritmatika Geometri 2. DERET - Un = a + (n-1)b 1 bede J n-1 ramo kalan gak contoh: 3,5,7,9,-- } kalau gak ☹l, bedanya dikit Un = an contoh = 5,25,125.. 1. bedanya jauh @Aritmatika n Sn- ^ (2a + (n-1) b) atau Sn = n (a+un) 2 a (rn-1) Geometri Sn= r-1 a (1-r^) SA= 1-r fr< # Contoh Soal ! ? 46=--? 12,-5,-81. U₁ = a suku pertama a = -2 b = U2-U₁ b=-5-(-2) b=-5+2 b = -3 Un= a(n-1)b U6=-2+(6-1)-3 46 = -2+(5)-3 =-2-15 16-17 11. = Big BOSS
ページ2:
12. U10 = 5 ; 415710 U10 = +96=5 U15 = α +146=-10 G -56=-15 b = 31 a+9b=5 9+9(3)=5 9+27=5 9=5-27 No. Senin Date: 20-10-2025 Un = a + (n-1)b a = -22 3. 2,4, 8, 16, -, a=2 F= U₂ = 41 Un= ar 4 -2 2 U12= 2.22-1 412 = 2.2" U12=---? F U122.2.048 U12 = 4.096 1/2+4+8+16+32,. S8= 1114 7 9=2 r=2r>1 = a (1-1) Se Sn= 58=2(2-1) = 20256-1) r-l 2-1 S8 = 2.255 U3 = 16; Us = 64 43 = r² = 16 r = ___? α = ___? Un = ar^-1 88 = 510 us = 4 = 64 г² = 4 r : = √ r = 21 6. Luar Rumah 1 = panjay x lebar ar² = 16 9.22=16 9.4 = 16 a = a=410 L = C10+ √10) x (6+√8) = 60+ 10+ 6UTÓ + √BO = 60 + 10 √4.2 + 6VTO + V16. V5. 60 + 10.22 +6√TO + 4√5 = 60 + 20√2 +6√TO +4√5 11 Big BOSS
ページ3:
0 Catatan Tambahan : ATURAN SARRUSS No. Sonin Date: 20-10-2015 seperk vektor (drfissken) t a bc7 ab de f 13.√3 = √√9 = 3 -sama den ayto ih ulos ghi VIO. V8 V80 = 1V5.√3 = √15 9 h Cordo 3x3 I can Cara: Cari det a d 9 kolom • b e h baris Jo Bari Baris x kolom - Orde f ordo = 3x3 15 12 Loordo=2x2 IPI Pa det b [96]} det determinan sama semua) = 1 ad-bc 15-1-12.1 15-12 3 Ex 138
ページ4:
MATEMATIKA 20152 (2014-2013) (2014-1) (20143 +1) Jawab: misal 2014=x) = = 2013² (2014² +2015) 2014- 20152 (2014-2013) (20142-1) (2014³ +1) (2014+1)2 (20142 - (2014-1)) (20142-1) (20143 + 1) (x+1)(x2-(x-1)) (x²-1) (׳+1) No. Senin Date: 20-10-2025 2013 2 (20142 +2015) 20143-1 (2014-1) 2 (2014² + (2014 -1). 20142 1 (x-1)² (x²+(x+1)) X 3 - 1 (x-1) (x²+x+1) X 3-1 dipecah Jadi 2 = (x+1)² (x²-x+1) (x²-1) (x3+1) (x+1) (x²-x+1) (x-1)* (x²+x+1) (x+1)(x-1) (x³+1) (׳ -1) 2 (x+1) (x²-x+1)(x-1) (x²+x+1) (x3+1)(x³-1) (x³+1) (x³-1) (x²+1) (x²-T NB: (X2-92) = (x+a) (x-9)) 1 = 2x = 2-√√3 2+03 ; log 4x jawab: 2x = 2-√3 -2x am log 60 = "log b 2+√3 Log 4* = • lawan dari eksponen = ? (2-13).(2+√3) (2+√3) 2* = 4-3 2+√3 dibalen 1 2+√3 2+√3 = 1 2x log 22 2x 2* 2x 2/09 2 2+√3 = 2 Tog = −2 Big BOSS
ページ5:
lai, az, dan 93 91,92, ast as → barisan aritmatika barisan geometri ☐ Jawab: un = 9+ (n-1) b Un = ar^- 91,92, as aritmatika geometri 91=9 } No. Senin Date: 20-10-2015 93 = -? 91, 92, 9, +93 92 = a+b a, a+b,a+a+2b b b U1, U21 Us 93=9+26 a, a+b, 29+26 42 r = 29+26 f= = 2 a+b a₁+az = = p² 2 F + as -4 ai a₁ ai ai 93 93 + 22 =4-1-3 a, a 4. 11+ 12+43 + deret ometri) ; Us = x²; dan 46 = 8 U₁ = X-2 Jawab= US UD 46 45 = F4 8 x² 2 2 (1) Us = x² = 2²=4 (2) 5 3 = U₁ + 42 +43 =++1 1+2+4 x² X-2 Xx = x x =r (NB): U₁ + U₂ +43 +... 2 -2 8 = 23 = ׳ 2 = XT U2 = 4x2=2 2² = 44 43 = 1½-½ × 2=1 U12 (NB)= Ditatasi = 1/2 = = = 4 =V (3) Uy + Us = 2+4= 6✓ (4) 43 = 1 #2 x Jadi, hanya 3 pornyataan yg benar Dk Co.0) Titik Pusat (0.0) = A (x,y) Titik pusat (anb) =A(x,y) D+ (a,b) → (A' (kx; ky) →→ A' (k (x-a)+a); ((y-b)+b) Bis BOSS
ページ6:
6. hasil dilatari faktor Jkala titik purat A (-4. (2) D-4 (min) Jawab: X': ((x-a)+a) hasil → B (6.2) 3 6= -4(-4-m)+m 6=16+4m+m 6=16+5m 6-16=5m -10=5m m = -2 No. Senin Date: 20-10-2025 → m+n=. y' (k (y-b)+6) ? 2=-4(12-7) th 248+4n tn 2+48 = 5n 50 = 30 Tn = 10 Jadi; m+n=-2+10= 8 Cosx = 2 Sin Jawab = Cos X = 2 sin x :605x 1 1 22 Jinx √√de + sam² √12122 √√√√ity= √ cosx 2 1 = 2 tan X 1. 2 = tan x → depan samping sec X = miring Cosx Samping A 7 B Jadi P=Q hilaj sin A+ c05 C? (1).<A=30° (2). <A +<C=90° Jawab: <A+B+<C = 180° 30° +90° + <C = 180° <C180-30-90° <C. = 60° } Pernyataan = √5 2 Jadi, pernyataan satu saja cukup, namun 2 saja tidak cukup. 8. a-b=2 a+b P dan q +b=1 9 nilai p² - 29=... Bis BOSS
ページ7:
000000 138 Trawab: No. Senin Date: 20-10-2015 a-b=2 - a = 2+b a+b +b=1 → 2+2b+2b+62 = 2+b = 2 +b a 2+b+b +b=1 62 +46+2 b²+4b+2-2-6=0 b²+3b=0 2+b b (b+3)=0 2+26 +b= 1 2+b b=0 atau b + 3 = 0 -b = -3 *b= 0 = a-b=2 2(1+b) +b= 1 2+b 2 (1+b) +b (2+b) 2 tb 9-6=29=2 * b = =-3 = a -6=2 = 1 x 9-(-3)=2 a+3=2a=-1 Pilih salah sath * P=2; q = =P22q 2 = 2' 2.0 * P = -1 = = 41 9 = -3= = P-29 -12-26-3) = 1+6 = 711 Bis BOSS
ページ8:
B. * A. 1. troponen (perpangkatan) SIFAT-SIFAT a° = 1 12 ab = bxbxb... 3 lao xa C = b b+c xb 2. 25x+7 Jument /01-08-2018 = 32* x+3 25x+7 =(25)*+3 45x+7 5x+7 = 254415 Si+xs = 15-7 4. 96: 9° b-c = = ac S. (ab)c=qbxc 16. √ ab = ex: √3 = 3 7. a T -6 8.9-6 = = 3 = 3 ob ab PERSAMAAN EKSPONEN ex 1.2 5x+7 = = 8x+7:3 SX : 3 −7 5x = x y = -4 5 0 = 8 3. 25x+7=35x+7) 5x+7 = -7 .7 5x x= 2 5 Y sx – 30. S*+125:0 (5*)2-30.5* +125=0 Misalkan: 5* = A Jadi: 7 ' A² - 30A +125=0 (A-25) (A-5)=0 A: 25 VA=5 5=25 5x = 52 × = 2 Jadi: 2 5*=5 =1' Big Bas
ページ9:
138 3 2 Eksponen 2 (A+B) = A² + 2.A.B +B² (A-B)2 = A2 2.A.B + B2 A²-B² = (A-B) (A+B) contoh:(4x+1)² = (4x2)+2(4x)(1) + (1)² No Date Jumat 11-07-2025 = 4 x ² + 8 x + 1 - (3x-772 9x2 42x+49 = (3x-7) (3x-7) = 9x² - 21x-21x+49 D 3x" s+xh = .3x =9x2-42x+49. 6x+7 4x+5=6x+7 4x-6x=7-5 3 x -2x = 2 4x+5 3x 194x+5 4x+5 = = 6× = 6x 27 4*+ -1 3x+7 (32) 4*45 (33) 3x+7 (33)3×+7 = 38x+6 = 13x+21 8x+10=9x+21 8x-9x=21-10 -X = 1 x = -11 = 123 4 (4x)2 (4)² (x²) = 16x2 (16x+8) 9x2-4 2 3 X -8 = = = 256x2 + 256x +64 (3x-2) (3x+2) (x-√8) (x +√8) BOSS
ページ10:
keession 1 No. Jumat "Dato: 11-07-2025 pangkat ( 0 1 ( 2 13 31 2 3. 146 41 y 1510 105 5 Centoh: (4x+1)³ = 1 (4x)³ + 3. (4x) 3³(1) + 3. (4x) (1) ® + 1. (1) 3 64x3 + 48x + 12x+1 (5x+2y)3 = 1. (5x) + 3. (5x) ² (2y) ' + 3 (5x) (zy)² + 1. (2y) * 125x2 = 150x24 + 60x42+ + 843 (5x-2y) = 1. (5x)³ - 3 (SDC)² (2y)' + 3(3x)' (zy)² - 1 (24)³ Big BOSS
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bantu ya kak..
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cara pengisian nya saya lupa tolong beri cara nya, dan cara menemukan jawabannya
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