Mathematics in Ancient and Medieval India c8.s3.20

c8.s3.20

We can express this also in the following form : $π=3+4[1/(3³-3)-1/(5³-5)+1/(7³-7)-········]$ $or,(π-3)/4=1/(3³-3)-1/(5³-5)+1/(7³-7)-1/(9³-9)+········$ $or,(π-3)/4=[(1/2.3.4-1/4.5.6)+(1/6.7.8-1/8.9.10)+······]$ $or,(π-3)/6=⅔[(1/2.3.4-1/4.5.6)+(1/6.7.8-1/8.9.10)+···]$ $=[1/((2.2²-1)²-2²)+1/((2.4²-1)²-4²).$ $.+1/((2.6²-1)²-6²)+········]$