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

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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

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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

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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 - =

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    ]khyg`gehkr Fngssis

    ]@F/Viquiefi & Virkis 9 LSX-Vdnutkdes/@gtli`gtkfs

    7. Cieirgn tir` ks