How much information does one need to determine an arithmetic sequence? That is, if a person tells you that she is thinking of an arithmetic sequence, how many or which terms must be revealed such that you will be able to create the function that generates the terms of the sequence? Explain/justify your answer.
Added by Angela O.
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This is because an arithmetic sequence is defined by a starting term (also called the first term) and a common difference. If we know two terms, we can find the common difference by subtracting the first term from the second term. For example, if we know that Show more…
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