11x1 t14 05 sum of an arithmetic series (2010)
TRANSCRIPT
![Page 1: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/1.jpg)
Sum Of An Arithmetic Series
![Page 2: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/2.jpg)
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22
![Page 3: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/3.jpg)
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
![Page 4: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/4.jpg)
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2
![Page 5: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/5.jpg)
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2( )lan +=
![Page 6: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/6.jpg)
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2( )lan +=
( )lan
Sn +=2 if we know l
![Page 7: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/7.jpg)
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2( )lan +=
( )lan
Sn +=2 if we know l
otherwise;
![Page 8: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/8.jpg)
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22
( ){ }dnaan
Sn 12
−++=
adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2( )lan +=
( )lan
Sn +=2 if we know l
otherwise;
![Page 9: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/9.jpg)
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22
( ){ }dnaan
Sn 12
−++=
adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2( )lan +=
( )lan
Sn +=2 if we know l
otherwise;
( ){ }dnan
Sn 122
−+=
![Page 10: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/10.jpg)
( ) 66 find ,96 and 3 If .. STaige ==
![Page 11: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/11.jpg)
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
![Page 12: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/12.jpg)
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
![Page 13: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/13.jpg)
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
297=
![Page 14: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/14.jpg)
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
297=
( ) numberseven 100first theof sum theFind ii
![Page 15: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/15.jpg)
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
297=
( ) numberseven 100first theof sum theFind ii100 and 2,2 === nda
![Page 16: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/16.jpg)
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
297=
( ) numberseven 100first theof sum theFind ii100 and 2,2 === nda
( ){ }dnan
Sn 122
−+=
![Page 17: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/17.jpg)
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
297=
( ) numberseven 100first theof sum theFind ii100 and 2,2 === nda
( ){ }dnan
Sn 122
−+=
( ) ( ){ }29942
100100 +=S
![Page 18: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/18.jpg)
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
297=
( ) numberseven 100first theof sum theFind ii100 and 2,2 === nda
( ){ }dnan
Sn 122
−+=
( ) ( ){ }29942
100100 +=S
10100
20250
=×=
![Page 19: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/19.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
![Page 20: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/20.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
![Page 21: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/21.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
{ } 100922
10 =+ da
![Page 22: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/22.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
{ } 100922
10 =+ da
2092 =+ da
![Page 23: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/23.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
{ } 100922
10 =+ da
2092 =+ da
255 =S
![Page 24: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/24.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
{ } 100922
10 =+ da
2092 =+ da
255 =S
{ } 254225 =+ da
![Page 25: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/25.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
{ } 100922
10 =+ da
2092 =+ da
255 =S
{ } 254225 =+ da
52 =+ da
![Page 26: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/26.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
{ } 100922
10 =+ da
2092 =+ da
255 =S
{ } 254225 =+ da
52 =+ da
1042
2092
=+=+
da
da
![Page 27: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/27.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
105 =d
{ } 100922
10 =+ da
2092 =+ da
255 =S
{ } 254225 =+ da
52 =+ da
1042
2092
=+=+
da
da
![Page 28: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/28.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
105 =d1 2 =∴= ad
{ } 100922
10 =+ da
2092 =+ da
255 =S
{ } 254225 =+ da
52 =+ da
1042
2092
=+=+
da
da
![Page 29: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/29.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
105 =d1 2 =∴= ad
( )dnaTn 1−+=
{ } 100922
10 =+ da
2092 =+ da
255 =S
{ } 254225 =+ da
52 =+ da
1042
2092
=+=+
da
da
![Page 30: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/30.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
105 =d1 2 =∴= ad
( )dnaTn 1−+=( )
12
211
−=−+=
n
n
{ } 100922
10 =+ da
2092 =+ da
255 =S
{ } 254225 =+ da
52 =+ da
1042
2092
=+=+
da
da
![Page 31: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/31.jpg)
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
105 =d1 2 =∴= ad
( )dnaTn 1−+=( )
12
211
−=−+=
n
n
{ } 100922
10 =+ da
2092 =+ da
255 =S
{ } 254225 =+ da
52 =+ da
1042
2092
=+=+
da
da
12 ,2 ,1 −===∴ nTda n
![Page 32: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/32.jpg)
( ) ( )∑=
−10
1
63 n
niv
![Page 33: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/33.jpg)
( ) ( )∑=
−10
1
63 n
niv
10 ,24 ,3 ==−= nla
![Page 34: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/34.jpg)
( ) ( )∑=
−10
1
63 n
niv
10 ,24 ,3 ==−= nla
( )lan
Sn +=2
![Page 35: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/35.jpg)
( ) ( )∑=
−10
1
63 n
niv
10 ,24 ,3 ==−= nla
( )lan
Sn +=2
( )
105
2432
1010
=
+−=S
![Page 36: 11X1 T14 05 sum of an arithmetic series (2010)](https://reader034.vdocuments.site/reader034/viewer/2022052623/559e32c51a28ab86428b4642/html5/thumbnails/36.jpg)
Exercise 6I; 2ace, 4bd, 5ac, 7c, 8f, 9, 11ac, 13be, 16a17bc, 19, 20a*
( ) ( )∑=
−10
1
63 n
niv
10 ,24 ,3 ==−= nla
( )lan
Sn +=2
( )
105
2432
1010
=
+−=S