Math CentralQuandaries & Queries


Question from Yo:

x; 2x+1; 11 are three consecutive terms of an arithmetic sequence. Calculate x


Since this is an arithmetic sequence there is a number $d.$ called the common difference, so that the difference between each pair of successive terms is $d.$ Thus for the first and second terms,

\[2x - 1 - x = d.\]

What is a similar equation that comes from the second and third terms?

Solve for $x.$


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