Sum Of An Arithmetic Series
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2( )lan +=
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2( )lan +=
( )lan
Sn +=2 if we know l
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22 adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2( )lan +=
( )lan
Sn +=2 if we know l
otherwise;
Sum Of An Arithmetic Series
ldldldadaaSn +−+−++++++= 22
( ){ }dnaan
Sn 12
−++=
adadadldllSn ++++++−+−+= 22
lalalalalalaSn ++++++++++++= 2( )lan +=
( )lan
Sn +=2 if we know l
otherwise;
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
−+=
( ) 66 find ,96 and 3 If .. STaige ==
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
297=
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
297=
( ) numberseven 100first theof sum theFind ii
( ) 66 find ,96 and 3 If .. STaige ==
( )lan
Sn +=2
( )96326
6 +=S
297=
( ) numberseven 100first theof sum theFind ii100 and 2,2 === nda
( ) 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
−+=
( ) 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
( ) 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
=×=
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
( ) term.general theand , Find
25. is numbers 5first theand 100 is numbers 10first theof sum The
da
iii
10010 =S
{ } 100922
10 =+ da
( ) 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
( ) 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
( ) 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
( ) 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
( ) 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
( ) 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
( ) 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
( ) 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
( ) 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
( ) 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
( ) ( )∑=
−10
1
63 n
niv
( ) ( )∑=
−10
1
63 n
niv
10 ,24 ,3 ==−= nla
( ) ( )∑=
−10
1
63 n
niv
10 ,24 ,3 ==−= nla
( )lan
Sn +=2
( ) ( )∑=
−10
1
63 n
niv
10 ,24 ,3 ==−= nla
( )lan
Sn +=2
( )
105
2432
1010
=
+−=S
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
