Fun Sequence Problems
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Last updated almost 2 years ago
4 questions
1
The sum of four positive integers that form an arithmetic sequence is 46. Of all such possible sequences, what is the greatest possible third term?
The sum of four positive integers that form an arithmetic sequence is 46. Of all such possible sequences, what is the greatest possible third term?
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Three real numbers form an arithmetic sequence with a first term of 9. If 2 is added to the second term and 20 is added to the third term, the three resulting numbers form a geometric sequence. What is the smallest possible value for the third term of the geometric progression?
Three real numbers form an arithmetic sequence with a first term of 9. If 2 is added to the second term and 20 is added to the third term, the three resulting numbers form a geometric sequence. What is the smallest possible value for the third term of the geometric progression?