I have a sequence with explicit formula $b_n = F_{n+4} -(n+3)$ The question asks me to use that formula to hence find the following sum for each $n$: $$nF_1 + (n-1)F_{2} +(n-2)F_3 +...+2F_{n-1}+F_n $$ I feel like the answer to my question will be very obvious, but I really don't know where to start with it.
2026-05-06 03:16:15.1778037375
Sum of Sequence Involving Fibonacci Sequence
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