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GANITASĀRASANGRAHA.
57. Give the cube roots of 270087225344 and 76332940488. 58. Give the cube roots of 77308776 and also of 260917119. 59. Give the cube roots of 2427715584 and of 1626379776.
60. O arithmetician, who are clever in calculation, give out after examination the root of 859011369945948864, which is a cubic quantity
Thus ends cube root, the sixth of the operations known as Parikarman
Summation.
The rule of work in relation to the operation of summation of series, which is the seventh (aniong tho parikurman operations), is as follows:
61. The number of terms in the sorice is (first) diminished by one and is thon) halvoi and multiplied by the common difference; this when combined with the first trrm in the series and (then) multiplied by the number of terms (therein) becomes the sun of all (thre terms in the series in arithmetical progression).
Tho rule for obtaining the sum of the series in another manner:
62. The number of torms (in the series) as diminished by one and (then) multiplicd by the common difforence is combined with twice the first torm in the sories; and when this combined sum) is multiplied by the nunber of terms (in the series) and is (then) divided by two, it becomes the sum of tho scries in all cases.
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01. This rule cones ont tous wben expressed algebraically :
17-0+ a ju == s, where a is the tirat term, t the common difference, n Abe number of terms, and the sum of the whologeries.
12. Similarly,
