Determine the arithmetic sequence with the first term 1 and common difference not equal to 0, whose 2nd, 10th and 34th terms are the first three terms in a geometric sequence.
Determine the arithmetic sequence with the first term 1 and common difference not equal to 0, whose 2nd, 10th and 34th terms are the first three terms in a geometric sequence.
I would use the formula for each term to write an equation or two, then solve for the common difference. Or I might see a shortcut before I got that far.
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