Blocks in a blockchain hold batches of valid transactions that are encoded, and each block includes a link of the prior block in the blockchain, thus creating a link all the way to the original first block

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This is a correct description of how blocks are linked together in a blockchain. Each block contains a set of transactions that have been verified, and is connected to the prior block in the chain through a unique cryptographic hash. This creates an unbroken chain of blocks, with each block including a reference to the previous one, all the way back to the genesis block.

Blocks in a Blockchain Hold Batches of Valid Transactions That