Arithtrebicgesions
Notes
7An aitbmtic prsgrexsian s a liat anumberu in
whith 2ach tvum ds oktainad by adding a e d
nwnbe o the puudng tum oncept the u t tem.
Uhe x d rumbr is callad the Samman Dieronte
dha AP. It is danatod by d .
h e i t toun is danated by A
Thahe gerural fawm an AP is a, atd, at2d,at3d.
A n AP with inite number a toums s called Etnite
Aribunate Bragpessian and an AP with intinite nuwmbtt
o twums is called Inkniti dritunatic Buaghassian
SoCampla Fan the
AP: 3 . . . . , ite Ha frt
at
twun aand the camman dilhwrne d.
Solutiom A 3
ist toum= a 3
Jommen hd and t
lewe =d =Dillanca betuaon 2
and
- - -
, hi kallawing Jist
rumbtts Je
Eampla2 which a Af. wrlte he
an AP7 I thay Javm
an
nuct huw tuums
4,10,16,22,
Salu-ut,ha touns be , a , ,3 Q4
= 10-4 6
a2,
= 16 -10
=
6
a3-2
22- 16 =
6
' y ag
it is an fAlP
ince diawnc is amu,
Nat to teour,
5 0+4d
Q+4 (6)
4+24 28
95 28
a a +sd
506)
+30 = 34
g3tt
- i),-3,-5,..
8alutiL, the tums he a,,2,a3, Q4
2-, --1 -2
-3+1 = -2
a3-2 3-C-)
Ay-3 -5-(-3) =
-5+3 -2
Cammon Dilloana, d = -2
, it is an AP
Sinte dilleuna is sam,
D
Neat tu0 teums,
s at Hd
4 4(-2)
-8 =-*
Q a t 5d
=145(-2)
-10 -9
ii)-2, 2, -2,2, 2,-
olu t , thu tuUns be a,,ag,3, Q4, as
9-a, 2-(-2) 242 =4
ag-2-2-2 = -4
4-4
ina dilleana is nat sama, t ia not anAP
iv 1,1,1,2,2,2, 33,3, .
8aluskLet the tuvns be a,a,,a3,au as 6
a3-2 1-1-0
a4-3 2-1=1
n a dilan is na Sama, it is nd an HP
Notes
7An aitbmtic prsgrexsian s a liat anumberu in
whith 2ach tvum ds oktainad by adding a e d
nwnbe o the puudng tum oncept the u t tem.
Uhe x d rumbr is callad the Samman Dieronte
dha AP. It is danatod by d .
h e i t toun is danated by A
Thahe gerural fawm an AP is a, atd, at2d,at3d.
A n AP with inite number a toums s called Etnite
Aribunate Bragpessian and an AP with intinite nuwmbtt
o twums is called Inkniti dritunatic Buaghassian
SoCampla Fan the
AP: 3 . . . . , ite Ha frt
at
twun aand the camman dilhwrne d.
Solutiom A 3
ist toum= a 3
Jommen hd and t
lewe =d =Dillanca betuaon 2
and
- - -
, hi kallawing Jist
rumbtts Je
Eampla2 which a Af. wrlte he
an AP7 I thay Javm
an
nuct huw tuums
4,10,16,22,
Salu-ut,ha touns be , a , ,3 Q4
= 10-4 6
a2,
= 16 -10
=
6
a3-2
22- 16 =
6
' y ag
it is an fAlP
ince diawnc is amu,
Nat to teour,
5 0+4d
Q+4 (6)
4+24 28
95 28
a a +sd
506)
+30 = 34
g3tt
- i),-3,-5,..
8alutiL, the tums he a,,2,a3, Q4
2-, --1 -2
-3+1 = -2
a3-2 3-C-)
Ay-3 -5-(-3) =
-5+3 -2
Cammon Dilloana, d = -2
, it is an AP
Sinte dilleuna is sam,
D
Neat tu0 teums,
s at Hd
4 4(-2)
-8 =-*
Q a t 5d
=145(-2)
-10 -9
ii)-2, 2, -2,2, 2,-
olu t , thu tuUns be a,,ag,3, Q4, as
9-a, 2-(-2) 242 =4
ag-2-2-2 = -4
4-4
ina dilleana is nat sama, t ia not anAP
iv 1,1,1,2,2,2, 33,3, .
8aluskLet the tuvns be a,a,,a3,au as 6
a3-2 1-1-0
a4-3 2-1=1
n a dilan is na Sama, it is nd an HP
