# Brain Teaser: What Do These Sequences Have in Common?

• math_04
In summary, all of the given sequences are simple sequences, have the digits "201" when concatenated, have odd-numbered entries that are odd, and have a total of 42 when the 25th through 35th digits are added. The common factor between all of these sequences is the number 7. The digits in each sequence are integers.
math_04
1,8,15,22,29,36,...

49,343,2401,....

77,74,71,68,65,....

What do all these sequences have in common?

The digit 1

Well, they're all simple sequences...

n=(n-1)+7
n=(n-1)x7
n=(n-1)-3

- All of the numbers in the sequences are integers.
- If you concatenate the digits of the sequences, each one has the digits "201".
- Each sequence's odd-numbered entries are odd.
- If you concatenate the digits of each sequence, and add the 25th through 35th digits, you'll get the same total, 42.

DaveE

The number 7?

sigh.

Commas, ellipses and integers.

math_04: we've given answers that have met the criteria. Either grant us a win or tell us there's a better answer than the ones we've provided.

I guess its the number seven and the digits being integers. Am I getting the right answer to the teasers?

------------------

I don't see what 7 has to do with the third sequence.

## 1. What is a brain teaser?

A brain teaser is a type of puzzle or problem that requires critical thinking and problem-solving skills to solve. These puzzles often involve word play, logic, and pattern recognition.

## 2. What are some common types of brain teasers?

Some common types of brain teasers include riddles, math puzzles, and visual puzzles. These can range from simple to more complex and can be solved individually or in groups.

## 3. How can brain teasers benefit the brain?

Solving brain teasers can improve cognitive skills such as memory, concentration, and problem-solving abilities. They also stimulate the brain and can help improve overall brain function.

## 4. What makes "What Do These Sequences Have in Common?" a brain teaser?

This brain teaser involves identifying a common pattern or theme among a series of sequences. It requires critical thinking and pattern recognition skills to solve.

## 5. Are brain teasers only for entertainment purposes?

No, brain teasers can also serve as a mental workout and can be used for educational purposes. They can help improve cognitive skills and are often used in educational settings to challenge students and promote critical thinking.

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