पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/५०५

एतत् पृष्ठम् अपरिष्कृतम् अस्ति

(3) (4) 1 A (14) 7 (5) 2 10 panas. (6) 21 palas (7) (15) 625 169' 6 3 (9) panas. 2 (10) 17 panas. (11) 14 palas. (12) 20 59319 8000 • 8 16 3 15 A (20) pana. panas. 8 24 925 25 9 4 27 (19) 8 120. 21 143 G 5 2 49 4, 25 9 100 121 121 144 P 3-13 64 9 2. 48 49 31 11 64 60

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1 1 1 2 3 4 3 (21) 31 35 39 13 16 18 20 3. (23) 80 81 1 (16); 2 37 (17) See examples 14 and 15 in this chapter; 1 4 5 224 120 255 133. , 256 . 49 81 121 169 16' 25' 36 49' 1 5 1 1 1 (18) 74 7 277 647 1257 216, 349, 5127 729 . APPENDIX III, CHAPTER III. 9, 9; i 400 10000 9 512 729 1000 1331 729 1000' 1231 1728 1 6 1 6. 40000 1 7

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1 1 8 9 1331 3375 6859 12167 19683 29791 42875 216 ³ 512 1000 1728 2744 4096¹ 5832 225 289 361 111 529 64' 81 100 121' 1443 3 20 35 927 3377 1391 8535

49' 49 88 2366 8704 3610' 22264 26 3 7 2 4 5: 307 69 (24) 160' (26) In each of the series the first term is 1, and the common difference is 2. The squares of the sums are 4 9 16 25 36 49 64 81 916' 25 36 49 64' 64 81 100' 8 27 64 125 216 343 The cubes of the sums are 27, 64 125 216 348' 512' , 11 15 19 23 27 6 8 10 12 14'