TNPSC Maths GP

Maf;Fo ,ytrg; gapw;rp ikak;

vz;zpapy; bgUf;Fj;bjhlh; (GP)

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bgUf;Fj;bjhlh;thpirapd; bghJtotk; a, ar, ar² ………………. a 0

bghJ tpfpjk; = r 0

bgUf;F bjhlh; thpirapd; 'n' k; cWg;g[ fhz tn = ar^n-1

2.4.8.16…….. vd;w bgUf;Fj;bjhlhpd; bghJtpfpjk; 4/2 = 2

64.16.4///////// vd;w bgUf;Fj;bjhlhpy; 5k; cWg;g[ tn = ar ^n-1 = 1/4

18. -12. 8/////////// vd;w bgUf;Fj;bjhlhpy; 512 / 729 vd;gJ 9tJ cWg;g[ MFk;/

25. -5. 1. -1/5 //////////////// vd;w bgUf;F bjhlh; tpfpjuk; - 1/5

2/5, 6/25, 18/125, 54/625…………… bgUf;Fj;bjhlhpd; tpfpjk; 3/5

1, 1/2 , 1/4 …………….. bgUf;Fbjhlhpd; 7tJ cWg;g[ 1/64

3,6,12…………… vd;w bgUf;Fj;bjhlhpd; 8tJ cWg;g[ 384

1.4.16///////// 4096 vd;w bgUf;Fj;bjhlhpy; cs;s cWg;g[fs; 7

bgUf;Fj;bjhlhpd; 'n' cWg;g[fspd; TLjy; Sn = a(rⁿ -1) / (r-1), r < 1 Sn = a(1-rⁿ) / (1-r)

r = 1 vdpy; Sn = na, Kotpyhbjhlh; S = a / 1-r

2.4.8///////// vd;w bgUf;Fbjhlhpy; 8 cWg;g[fs; TLjy; 510

54.18.6.2///////// vd;w Kotpyp bjhlhpd; TLjy; 81 r = 1

1 + 3 + 3² ------------ + 8 cWg;g[fs; tiu TLjy; = 3280

36. 12.4 ////////////////////// Kotpyp bjhlhpd; TLjy; 54