[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Mathematics in Ancient and Medieval India](https://indike.org/pramana/ins.science.bag-1979) › c8.s3.43 # Mathematics in Ancient and Medieval India c8.s3.43 Mathematics in Ancient and Medieval India c8.s3.43 - **Language:** English ### [c8.s3.43](https://indike.org/pramana/ins.science.bag-1979.c8.s3.43) \*Case i\* ) Putting p = 2 in (8), we obtain from (6) and (8), $a₁ = 1, a₃ = - 1, a₂ = a₄ = 0.$ Now from (6) $2f (n) & = 1/n - 1/(n³) + 1/(n⁵) - 1/(n⁷) + / & = n/(n² + 1)$ $Hence f (n + 1) = (n + 12)/((n + 1)² + 1)$ - [Previous: c8.s3.42](https://indike.org/pramana/ins.science.bag-1979.c8.s3.42) - [Next: c8.s3.44](https://indike.org/pramana/ins.science.bag-1979.c8.s3.44) - [Up: c8.s3](https://indike.org/pramana/ins.science.bag-1979.c8.s3) --- Source: [https://indike.org/pramana/ins.science.bag-1979.c8.s3.43](https://indike.org/pramana/ins.science.bag-1979.c8.s3.43) · Pramāṇa