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7/22/2019 Jee 2014 Booklet4 Hwt Solutions Sequence & Series
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]khyg`gehkr Fngssis
]@F/Viquiefi & Virkis 7 LSX-Vdnutkdes/@gtli`gtkfs
Gccgrwgn Fdrpdrgti Likclts, 6rh Mnddr, Zndt Ed. G - 3, Eitgbk Vuolgsl Zngfi,
Zktg` Zurg, Hinlk - 77::68 Zldei2 :77-89??77;:-;6
Vdnutkdes td Ld`i Sdra Xist/@gtli`gtkfs
7. 6 = 7?? ? ?ndc , ndc , ndc fge oi wrkttie gs? ? ?
6 6 ? 6 ? ?
ndc ndc ndc, ,
ndc ndc ndc ndc ndc ndc
L.Z. wktl fd``de hkmmiriefi 7.
?. Ysi G.@. C.@.
6. Nit mkrst mkvi tir`s oi ??
g g, , g , gr, grrr
8g (ckvie)
Zrdhuft dm mkrst mkvi tir`s 0 g9
7/22/2019 Jee 2014 Booklet4 Hwt Solutions Sequence & Series
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]khyg`gehkr Fngssis
]@F/Viquiefi & Virkis ? LSX-Vdnutkdes/@gtli`gtkfs
7. Ke Knnustrgtkde ?. Ke KEI
6. gof, goh, gfh, ofh fge oi wrkttie gs
gofh gofh gofh gofh, , ,h f o g
ke L.Z.
8. Ke KEI
3. ? ? ?7 7
8? 8
ndc x ndc x ndc x. . . . .
?7 7
7 8? 8
ndc x . . . . .
?? 8ndc x
? ?ndc x ?
? 8x
;. Fdimmkfkiet dm Ed. dm rddts: 7x (prdhuft dm rddts)
7. Niectls gri ke G.Z. skhis gri g h , g, g h
? ??
g h g g h ?? ?gh g gh
8h0g
Vkhis gri 6h, 8h, 9h
ske dm gfuti gecnis gri6
9geh
8
9
?. ? ?ndc g f ndc g f o ndc g f
?
?ndc g f g f o ndc g f
? ?
?g f o g f g f
? ? ? ?? ? ? ?g f gf go of f gf g
8 ?gf go of
?gf
og f
ke L.Z.
9. 7
77 ?
7?
e
e e
r
V t e e e
7
7 ? 7 7 7 6
7? 7?e e e
e e e e e e e eX V V
7 8
7eX e e
7 7 7
7 7 7 78 8
7 7
e e e
err r r
VX e e e e
7 88 7
7 7
e
e e
Viquiefi & Virkis LSX - 6
Viquiefi & Virkis LSX - 8
7/22/2019 Jee 2014 Booklet4 Hwt Solutions Sequence & Series
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]khyg`gehkr Fngssis
]@F/Viquiefi & Virkis 6 LSX-Vdnutkdes/@gtli`gtkfs
ee
;. [is km fd``de rgtkd dm g C.Z. ksvi wi fge lgvi tlks akeh dm C.Z.
7:. ?gfog f
? ?
? ?
? ?
6 6
? ?
gf gfg f
g gf f gfg f g fgf gf gf g gf f
g fg f g f
?6 6 ? ??
f gg f f g f g
f g g f f g f g
Mgnsi.
7. Si lgvi
? ? 8 ?7g r r s
geh ?7g r r s
?
?
?
7
7
r rm r r _
r r
Flifa rgeci dmm(r) wlkfl ks 7
7 7 66
, ,
? 7 gs mdr ?: 7r , (Vk`kngr quistkde gs ke qughrgtkf iqugtkde)
Km ? ? tlie?
?
7?
7
r r
r r
? 6 7 :r r
6 9
?r
Xgai6 9
?r
QrP 0 ?
Edw km r0 ?
? 7 ? 8 3
7 ? 8 6
? ?
=. Ke @dhuni 3. Ke @dhuni
7/22/2019 Jee 2014 Booklet4 Hwt Solutions Sequence & Series
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]khyg`gehkr Fngssis
]@F/Viquiefi & Virkis 8 LSX-Vdnutkdes/@gtli`gtkfs
of gh g, o, f, hgri ke C.Z.
stgti`iet ks trui
;.? 6 ?6
7 :x x x . . . . . x ?8 7
:7
x
x
? 6 7;7 :x x x . . . . . x ?: 7
:
7
x
x
?8 7x geh ?: 7x
8 7x
rddts gri 7 7, , k, k
stgti`iet ks mgnsi.
7. Ysi fdefipt dm kesirtkde dm G.@s geh C.@s oitwiie twd eu`oirs.
8. Ghh tir`s uetkn tir`s fd`i dut td oi eicgtkvi td cit `gxk`u` su`.
9. Ke @dhuni
=. Ke Knnustrgtkde
3. 77 77 77 . . . . . . (;7 tk`is) 0 ;; ;7 tk`is
;
. . . . . .
;77: 7
;
76 3
3
3
7: 7
7: 7; 7: 7
3 ?7 7? 37 7: 7: 7: 7: ; ; ; ; ; ; ;;
. . . .
3 8 ?7 7? 37 7: 7: 7: 7: 7777777. . . . . Edt g prk`i eu`oir.
;. Ke KEI
7:. @gxk`u` vgnui dm g o fx y z ks wlie
gx oy fz
`gxk`u` dm ?go f ks wlie ?o g f
8 8 7o
? ?g o f stgti`iet ks mgnsi.
Viquiefi & Virkis LSX - =
7/22/2019 Jee 2014 Booklet4 Hwt Solutions Sequence & Series
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]khyg`gehkr Fngssis
]@F/Viquiefi & Virkis 9 LSX-Vdnutkdes/@gtli`gtkfs
7. Cieirgn tir` ks