पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/५०६

एतत् पृष्ठम् अपरिष्कृतम् अस्ति

308 (28) The cubic sums are 1 3 1 5 3 6' 16' 5' 24' 14 3 7; (30) (31) the numbers of terms are. (32) (35) 8 16 7 21* 6 3 13 13 3 1 40 5 2 9 5 1 3 (37) 34. (42) (44) (48) in the ratio of 1 to 2, 3512 4108 (39) 45 75 when the sums are equal, and ence; and the double sum 18 1 - 135 135 63

47 82 52 4 GANITASĀRASANGRAHA.

1 2048 11 100* 8 27¹

the common

are the interchangeable first term and common difference 1551488 225 1s the equal sum When the sums are 7852 2558 and are the first term and the commen differ- 45 75 3102976 . 225 1 to, the first term and the common difference are halved sum is 7551488 225 341 2048 127 (49) 5760 (50) 4367 553 9367 (51) 12000 1440 23520

(52) -; 21; 99 4 (53) 22880 13376

6561 6561 (57 & 58) 1. (59) 1. (60) 1; 1; 1. C 27 64 125 216 64 125' 216 343' " differences are 35 17 - ; - 2 2 The first terms are 4 r 3 2 ' 8 5 12 5 3 7 the first terms are 176 81 243 729 352 704

-:

the numbers of terms are 5; 4; 4.

1 3' 3 - , 8 4883 ca [10 When the sums are in the proportion of 1342 and and the 45 75; 2 5 5 12

the sums are

' 37136 6561