Question 478179: A sequence starts with 5, and each term, other than the first, is 3 times the previous term. Another sequence starts with 52, and each term after the first is 2 more than the previous term. What elements do the sequences have in common? choose the answer and explain the reason to choose your response They have no elements in common. The smallest common element is more than 1000. 56,62,68,...56 only.
Note: the last 4 statements were the answer choices.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A sequence starts with 5, and each term, other than the first, is 3 times the previous term. Another sequence starts with 52, and each term after the first is 2 more than the previous term. What elements do the sequences have in common? choose the answer and explain the reason to choose your response They have no elements in common. The smallest common element is more than 1000. 56,62,68,...56 only.
Note: the last 4 statements were the answer choices.
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1st sequence: 5,5*3,5^3^2,5*3^3....
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2nd sequance: 52,,52*2,52*2^2,52*2^3....
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Prime factor form for the 1st sequence: Never has a factor of 2
1st sequence elements are always odd.
Prime factor form for the 2nd sequence: Never has a factor of 3
2nd sequence elements are always even.
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Conclusion: The sequences have no elements in common.
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Cheers,
Stan H.
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