11x1 t10 02 geometric series
TRANSCRIPT
![Page 1: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/1.jpg)
Geometric Series
![Page 2: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/2.jpg)
Geometric SeriesAn geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.
![Page 3: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/3.jpg)
Geometric SeriesAn geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
![Page 4: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/4.jpg)
Geometric Series
aTr 2
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
![Page 5: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/5.jpg)
Geometric Series
aTr 2
2
3
TT
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
![Page 6: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/6.jpg)
Geometric Series
aTr 2
2
3
TT
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
![Page 7: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/7.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
![Page 8: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/8.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
arT 2
![Page 9: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/9.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
arT 22
3 arT
![Page 10: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/10.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
arT 22
3 arT 1 n
n arT
![Page 11: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/11.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. rige
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
arT 22
3 arT 1 n
n arT
![Page 12: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/12.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. rige4,2 ra
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
arT 22
3 arT 1 n
n arT
![Page 13: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/13.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. rige
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
arT 22
3 arT 1 n
n arT
1 nn arT 4,2 ra
![Page 14: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/14.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. rige
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
arT 22
3 arT 1 n
n arT
1 nn arT
142 n
4,2 ra
![Page 15: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/15.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. rige
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
arT 22
3 arT 1 n
n arT
1 nn arT
142 n
22
12
22
22
n
n
4,2 ra
![Page 16: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/16.jpg)
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. rige4,2 ra
An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.The constant amount is called the common ratio, symbolised, r.
1
n
n
TTr
arT 22
3 arT 1 n
n arT
1 nn arT
142 n
22
12
22
22
n
n 122 nnT
![Page 17: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/17.jpg)
rTTii find,49 and 7If 42
![Page 18: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/18.jpg)
rTTii find,49 and 7If 42 7ar
![Page 19: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/19.jpg)
rTTii find,49 and 7If 42 7ar493 ar
![Page 20: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/20.jpg)
rTTii find,49 and 7If 42 7ar493 ar
72 r
![Page 21: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/21.jpg)
rTTii find,49 and 7If 42 7ar493 ar
72 r7r
![Page 22: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/22.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
493 ar
72 r7r
![Page 23: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/23.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
493 ar
72 r7r
4,1 ra
![Page 24: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/24.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
493 ar
72 r7r
4,1 ra 141 nnT
![Page 25: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/25.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT493 ar
72 r7r
4,1 ra 141 nnT
![Page 26: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/26.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
493 ar
72 r7r
4,1 ra 141 nnT
![Page 27: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/27.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n
![Page 28: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/28.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
500log4log1 n
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n
![Page 29: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/29.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
500log4log1 n
48.548.41
nn
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n
![Page 30: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/30.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
500log4log1 n
48.548.41
nn
500first termtheis,10246 T
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n
![Page 31: 11X1 T10 02 geometric series](https://reader033.vdocument.in/reader033/viewer/2022052621/5583bc74d8b42a7a798b4ba7/html5/thumbnails/31.jpg)
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
500log4log1 n
48.548.41
nn
500first termtheis,10246 T
Exercise 6E; 1be, 2cf, 3ad, 5ac, 6c, 8bd, 9ac, 10ac, 15, 17, 18ab, 20a
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n