On the Partial Finite Alternating Sums of Reciprocals of Balancing and Lucas-Balancing Numbers

Abstract

In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers are considered and several identities involving these sums are deduced.

Keywords

• balancing numbers
• lucas-balancing numbers
• partial sums
• reciprocal
• floor function
• 11b37
• 11b39