# Approximating Catalan's Constant

Approximating Catalan's Constant

Catalan's constant is the alternating sum of the reciprocals of odd squares, . The area of each green region is the sum of a positive/negative pair of terms. Thus the total green area approaches Catalan's constant. Use the slider to change the number of term pairs considered.

1-1/9+1/25-1/49+1/81+...≈0.915966…