Summary: In this article, we introduce the sequence spaces \[ \left [\chi^{2FI}_f, \|(d(x_1, 0), d(x_2, 0), \dots, d(x_{n-1}, 0)) \|_p \right] \] and \[ \left [\Lambda^{2FI}_f, \|(d(x_1, 0), d(x_2, 0), \dots, d(x_{n-1}, 0)) \|_p \right] \] and study some basic topological and algebraic properties of these spaces. Also, we investigate the relations related to these spaces and some of their properties like solidity, symmetricity, convergence free, etc., and also investigate some inclusion relations related to these spaces.