In this talk I will present some elementary computations in equivariant (Bredon) homology and cohomology. First I will give a brief introduction to equivariant homotopy theory and Bredon (co)homology. For the computations we will focus on the case of a cyclic group G and constant coefficients Z. We will compute the equivariant (co)homology of the one point compactification of any finite dimensional real G-representation. Non-equivariantly these spaces are just spheres, but their Bredon (co)homology groups will usually have torsion. The direct sum operation on representations induces a product in the 'RO(G)-graded' theory. Under this product we will see that these computations can be unified in an elegant way.