benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / The Fibonacci sequence is the sequence 1, 1, 2, 3, 5, … where each term is the sum of the previous two terms. What is the remainder when the 100^(th) term of the sequence is divide…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The Fibonacci sequence is the sequence 1, 1, 2, 3, 5, …\ldots where each term is the sum of the previous two terms. What is the remainder when the 100th100^{\mathrm{th}} term of the sequence is divided by 4?
Plain-text mathematical notation (without MathML)
The Fibonacci sequence is the sequence 1, 1, 2, 3, 5, … where each term is the sum of the previous two terms. What is the remainder when the 100^(th) term of the sequence is divided by 4?
Original LaTeX notation
The Fibonacci sequence is the sequence 1, 1, 2, 3, 5, $\ldots$ where each term is the sum of the previous two terms. What is the remainder when the $100^{\mathrm{th}}$ term of the sequence is divided by 4?

level

Level 4

type

Number Theory

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
ab7c2174-5054-5037-b2a3-bb22e45770ba
task_key
number~5ftheory--test--ab7c2174-5054-5037-b2a3-bb22e45770ba
task_revision_id
1
config / split
number_theory / test

Official source

initial import