On the Sum of the Sixth Powers of Fibonacci Numbers

Kunle Adegoke, Olawanle Layeni

Let $(G_k{)}_{k\in \mathbb{Z}}$ be any sequence obeying the recurrence relation of the Fibonacci numbers. We derive formulas for ${\sum }_{j=1}^n{G}_{j+t}^6$ and $\sum_{j=1}^n{(-1)^{j -…