How do Blockchain consensus algorithms work?

The question is about blockchain

Answer:

This set of algorithms provides the network participants with a common view of the state of the Blockchain. In business, the common algorithms are the Proof of Work algorithm, which applies complex mathematical problems to be solved by miners in order to validate a series of transactions. Proof of Stake selects validators of the next block according to the number of tokens held. The algorithms help to get around double-spending and keep the Blockchain tamper-proof and secure.

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