श्रेढी · Chapter Overview
From Līlāvatī, taught by Acharya T Krishnatrey. This lesson is free to read.
<pre data-block="statement">What this chapter covers | The śreḍhī-vyavahāra gives the summation of series — arithmetic progressions (constant difference) and geometric progressions (constant ratio) — including the classic triangular sum 1 + 2 + 3 + … + n = n(n+1) ⁄ 2. It states the general rule for an arithmetic sum as (number of terms) × (first + last) ⁄ 2, and Bhāskara's ratio rule for geometric sums. A worked example and a knowledge check follow.</pre>