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Fun Sequence Problems

Last updated about 2 years ago

4 questions

1

Question 1

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?

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Question 2

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Question 3

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Question 4

4.

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?