Sabtu, 12 November 2011
Rabu, 14 September 2011
Selasa, 09 Agustus 2011
To : Agnes ( 10 PIS )
scannan ke-4 untuk (no.2) sudut kanan atas jawaban d(i) trus perkalian matrixnya dibalik yahh...yang kakak buat kebalik.
Rabu, 27 April 2011
Rabu, 13 April 2011
To Vero
Sorry banget buat VEro BELUM Bisa ngasih pembahasan, kertas soalnya lupa nyimpen(belum ktemu).
Rabu, 06 April 2011
Rabu, 30 Maret 2011
Rabu, 16 Maret 2011
Kamis, 10 Maret 2011
Senin, 28 Februari 2011
To : VERONICO (AXEL)
note: maaf bgt ya vero kertas soal dan buku paketnya ketinggalan disinotif ,padahal dah dipisahin. Ok , yg sy kerjakan 2 nomer yang saya ingat, no:2 pun angkanya periksa lagi ,kyaknya angkanya ada yang ketuker, tks.
Rabu, 16 Februari 2011
Minggu, 06 Februari 2011
Kamis, 27 Januari 2011
To : Agnes and friends 9 ( PIS )
Arithmetic Sequences
Arithmetic formula: Un = U1 + (n - 1)b
middle term : (Un + U1):2
find number of terms n = ((Un-U1):b)+ 1
Sample problems:
Find the first four terms of this arithmetic sequence.
1) Un = 3n + 2 To find the first four terms, in a row, replace n with 1, then 2, then 3 and 4
Answer: 5, 8, 11, 14 The sequence is arithmetic! b = 3
Find a formula for each sequence.
1) 2, 5, 8, 11, 14, . . .
Work: It is arithmetic! So use the arithmetic formula you learned above!
U1 = 2, look at the first number in the sequence!
d = 3, look at the common difference!
Therefore, Un = 2 + (n - 1)3 and simplifying yields : Un = 3n -1 ( tada!)
Try putting in 1, then 2, then 3, etc. and you will get the sequence!
Find the indicated term of the sequence.
1) sequence is arithmetic with U1 = 5 and U7 = 29. Find U53
Work: Use the formula! 29 = 5 + 6d Where oh where did I get that! Substitution!
24 = 6d means d = 4
U53 = 5 + 52.4 = 213
2) Find the number of multiples of 9 between 30 and 901.
Work: What's the first multiple of 9 in the range? How about 36.
What's the last multiple of 9 in the range? How about 900.
Use the formula: 900 = 36 + 9(n - 1) and solve for n!
864 = 9n - 9
873 = 9n
97 = n There are 97 multiples in the range!
The next problems :
How to find the different of arithmatic sequence ,If we want insert 4 number between 10 and 50 .
works : difference (d) = (50 - 10 ): (4 + 1) = 8
so the sequences are : 10 , 18 , 26 , 34 , 42 , 50
Arithmetic Series
Sn=(2a+(n-1)b)n/2 ,Sn= sum of n terms
sample problems:
Find the sum of the given arithmetic series:
6 + 12 + 18 + 24 + ...72
U1=6 , b=6 find n = ((Un-U1):b)+ 1 = ((72-6):6)+ 1 =11 + 1= 12
Un=72 Now find S12 = (2.6+(12-1)6) 12/2 = 468
Geometric sequence
Geometric formula: Un = U1 . r^(n - 1) ,^= r pangkat (n-1)
Example:
4, 8, 16, 32, . . .
Work: It is geometric! So use the geometric formula you learned up yonder!
t1 = 4, look at the first number in the sequence!
r = 2, look at the common ratio!
Therefore, Un = 4 . 2^(n - 1) and simplifying gives us: Un = 2.2^n (Yikes stripes! Where did this come from. rewrite 2^(n - 1) as 2^n . 2^-1 and cancel with the four!)
Geometric Series
So, the sum of n terms of a geometric series with starting value a, ratio, r is:
Sn = U1(1-r^n)/1-r
middle tewrms :akar dari U1.Un
PRACTICE ,PRACTICE AND PRACTICE ! FOR MORE PRACTICE, SEE THIS SITE: http://hotmath.com/help/gt/genericalg2/section_9_2.html
Arithmetic formula: Un = U1 + (n - 1)b
middle term : (Un + U1):2
find number of terms n = ((Un-U1):b)+ 1
Sample problems:
Find the first four terms of this arithmetic sequence.
1) Un = 3n + 2 To find the first four terms, in a row, replace n with 1, then 2, then 3 and 4
Answer: 5, 8, 11, 14 The sequence is arithmetic! b = 3
Find a formula for each sequence.
1) 2, 5, 8, 11, 14, . . .
Work: It is arithmetic! So use the arithmetic formula you learned above!
U1 = 2, look at the first number in the sequence!
d = 3, look at the common difference!
Therefore, Un = 2 + (n - 1)3 and simplifying yields : Un = 3n -1 ( tada!)
Try putting in 1, then 2, then 3, etc. and you will get the sequence!
Find the indicated term of the sequence.
1) sequence is arithmetic with U1 = 5 and U7 = 29. Find U53
Work: Use the formula! 29 = 5 + 6d Where oh where did I get that! Substitution!
24 = 6d means d = 4
U53 = 5 + 52.4 = 213
2) Find the number of multiples of 9 between 30 and 901.
Work: What's the first multiple of 9 in the range? How about 36.
What's the last multiple of 9 in the range? How about 900.
Use the formula: 900 = 36 + 9(n - 1) and solve for n!
864 = 9n - 9
873 = 9n
97 = n There are 97 multiples in the range!
The next problems :
How to find the different of arithmatic sequence ,If we want insert 4 number between 10 and 50 .
works : difference (d) = (50 - 10 ): (4 + 1) = 8
so the sequences are : 10 , 18 , 26 , 34 , 42 , 50
Arithmetic Series
Sn=(2a+(n-1)b)n/2 ,Sn= sum of n terms
sample problems:
Find the sum of the given arithmetic series:
6 + 12 + 18 + 24 + ...72
U1=6 , b=6 find n = ((Un-U1):b)+ 1 = ((72-6):6)+ 1 =11 + 1= 12
Un=72 Now find S12 = (2.6+(12-1)6) 12/2 = 468
Geometric sequence
Geometric formula: Un = U1 . r^(n - 1) ,^= r pangkat (n-1)
Example:
4, 8, 16, 32, . . .
Work: It is geometric! So use the geometric formula you learned up yonder!
t1 = 4, look at the first number in the sequence!
r = 2, look at the common ratio!
Therefore, Un = 4 . 2^(n - 1) and simplifying gives us: Un = 2.2^n (Yikes stripes! Where did this come from. rewrite 2^(n - 1) as 2^n . 2^-1 and cancel with the four!)
Geometric Series
So, the sum of n terms of a geometric series with starting value a, ratio, r is:
Sn = U1(1-r^n)/1-r
middle tewrms :akar dari U1.Un
PRACTICE ,PRACTICE AND PRACTICE ! FOR MORE PRACTICE, SEE THIS SITE: http://hotmath.com/help/gt/genericalg2/section_9_2.html
Selasa, 25 Januari 2011
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