janjang
TRANSCRIPT
7/26/2019 Janjang
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JANJANG
MOTIVATOR TERSOHOR
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JANJANG ARITMETIK
S8 = T1 + T2 + T3 + T4 + T5 + T6 + T7
+ T8
S3 = T1 + T2 + T3
S8
– S3
= T4
+ T5
+ T6
+ T7
+ T8
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CONTOH Hasil a!"a# n s$"%a& '$(a!a "a)i s%a% *a&*a&)a(i!$i iala#
S& = & , 4 + & -
a. S$"%a& '$(a!a
". S$"%a& $/23
0. Hasil a!"a# a(i s$"%a& $$!'a #i&))a s$"%a&
$s$!"ila&
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ATIHAN Hasil a!"a# n s$"%a& '$(a!a "a)i s%a% JA i"$(il$#
S& = 2&2 – 5&. Ca(i #asil a!"a# a(i s$"%a& $/6#i&))a s$"%a&
$/2.
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ENEESAIAN
MASAAH Kassi! i&)i& !$&a!"a#a& sa!i&a&a $&)a&"$($&a&) s$ia' #a(i. ia "$($&a&) 1! 'aa #a(i'$(a!a a& !$&a!"a# s$"a&a 25! s$ia' #a(ia&) "$(i%&a s$#i&))a ia "l$# "$($&a&) 15!ala! s$#a(i.
a. 9$(a'a #a(ia# a&) i'$(l%a& l$# Kassi! %&%!$&0a'ai sasa(a&&a "$($&a&) 15!:
". Hi%&)a& *%!la# *a(a a&) $la# i($&a&)i l$#Kassi! a'a"ila ia !$&0a'ai sasa(a&&a:
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ENEESAIAN
MASAAH ,SOAAN- S%(ia !$!"aa( "ali 'i&*a!a& "a&&a s$0a(aa&s%(a& "%la&a&. ia !$!"aa( RM 5 'aa "%la&'$(a!a a& s$ia' "%la& a&) "$(i%&a; ia!$!"aa( RM 5 l$"i# a(i'aa "%la& a&)s$"$l%!&a. Jia S%(ia i$#$&ai !$!"aa( "aliRM 8 4; 0a(i
a. 9ila&)a& "%la& a&) i'$(l%a& l$# S%(ia %&%!$&*$lasa& #%a&)&a:
". 9aa(a& a&s%(a& $(a#i(:
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JANJANG GEOMETRI Ja&*a&) G$!$(i iala# s%a% *%*%a& &!"( $&)a&
s$ia' s$"%a& i'$(l$#i $&)a& !$&a(a" sa%
'$!ala( $'aa s$"%a& s$"$l%!&a.
T1 ; T2 ; T3 << T&
( = T
2
T
1
T
3
T
2
=
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CONTOH Ca(i &is"a# s$'%&a "a)i *a&*a&) )$!$(i "$(i% 3; ;27; 81; <.
S$$(%s&a &aaa& 0a(a *a&*a&) )$!$(i i%i'$(l$#i.
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ATIHAN Ca(i &is"a# s$'%&a "a)i *a&*a&) )$!$(i "$(i% > ;?; 1@6; 1@8; <.
S$$(%s&a &aaa& 0a(a *a&*a&) )$!$(i i%i'$(l$#i.
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MENENTKAN SAT
SE9TAN TERTENT
Ca(i s$"%a& $/12 "a)i J.G /3@32; 3@16; /3@8; <..
Ca(i s$"%a& $/8 "a)i J.G B; 3B2 ; B3 <.
T& = a(&/1
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CONTOH Ti)a s$"%a& '$(a!a a&) 'sii "a)i s%a% JG iala#4; a& 16.
Ca(iD
a. Nilai
". Nis"a# s$'%&a "a)i *a&*a&) i%
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CONTOH i"$(i "a#aa 2; 6; 18; <.. Iala# s%a% JG. Ca(iD
a. S$"%a& $/5
". Nilai n s%'aa s$"%a& $/& sa!a $&)a& 4374
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ATIHAN S$"%a& $/2 a& s$"%a& $/5 "a)i s%a% JG !asi&)/
!asi&) iala# 6 a& 162. Ca(i s$"%a& '$(a!a a&
&is"a# s$'%&a "a)i JG i%.
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CONTOH Ti)a s$"%a& '$(a!a "a)i s%a% JG iala# 4; 12; 36.
Ca(i "ila&)a& s$"%a& !i&i!%! s%'aa #asil a!"a#
*a&*a&) i% !$l$"i#i 6.
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ATIHAN S%a% JG !$!'%&ai &is"a# s$'%&a /3. i"$(i #asil
a!"a# S$!"ila& s$"%a& '$(a!a iala# 73; 0a(i #asil
a!"a# a(i s$"%a& $/6 #i&))a s$"%a& $/12.
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CONTOH Hi%&) #asil a!"a# #i&))a $a$(#i&))aa& "a)i JG
2; >; 1@8; 1@32; <.
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ATIHAN Hasil a!"a# #i&))a $a$(#i&))aa& "a)i s%a% JG
iala# 7 a& #asil a!"a# %a s$"%a& '$(a!a iala#
48@7. Ca(i s$!%a &is"a# s$'%&a a&) !%&)i&.
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ATIHAN &)a'a& '$('%l%#a& *ai s$!%la .8333< ala!
"$&% #asil a!"a# "a)i s%a% JG. S$$(%s&a;
%&)a'a& &!"( i% ala! '$0a#a& $(!%a#.