# Next in Sequence: What Comes After 61?

• Andre
In summary, the conversation revolved around finding the next number in a sequence, with various individuals proposing different rules and methods for figuring it out. Ultimately, it was determined that the sequence was -1, 0, 3, 8, 15, 24, 35, and the next number would be 48. Some rules involved adding consecutive odd or even integers, while others involved finding patterns in the digits or using division. The final method involved a twist where the first and second digits of the previous numbers were added separately and then combined to get the next number in the sequence.
Andre
Just an idea.

which number is the next in sequence?

21, 34, 57, 61,...

24, 35??

Just a thought.

Nice try, but no, the next one is perfectly logical and explainable, but there is a twist.

How about; 93, 88, 129, 115?

You're guessing

You really need to find the logic, but think about the twist

Ambiguous twists actually

84?

Andre, this is too hard!

Amazing. But you know you are right

You defeated your heuristic bias. Great job.

Can anybody else explain why?

We're still looking for the explanation, I guess. Defeating heuristic bias is obviously thinking out of the box. And the box here is obviously that a row of numbers usually means figuring out, which calculations are consistent with those numbers.

Andre said:
Just an idea.

which number is the next in sequence?

21, 34, 57, 61,...

There is no unique answer to these. It's a number based on your rule,
or the creator of the sequence (if not you).

You could be asking if we can figure out what rule/process you
happened to use.

The rule is...
that at least one of the lines of the left character/symbol is curved, twisted: 2,3,5,6,8,9,0 (the hint of the twist -used double-, ambigeously) while the right symbol is made of straight lines 1,4,7.

I wonder which other hidden -unintended- rules could exist. Can you give an example?

Last edited:
Okay, out of an infinite number of possibilities for the rules, I chose this one:

After starting out with 23,

it could be for the subsequent tens digits that a person can

And for the subsequent units digits, they could (take turns)
cycling as 1, 4, 7, 1, 4, 7, etc.

$$Hence, \ \ \ 21, \ 34, \ 57, \ 61, \ \boxed{84}, \ ...$$

As an aside, using my method, if I were to figure the next number
following 84, I would add 1 to 8 to get 9 for the tens digit,
and the units digit would be a 7 from the cycling as mentioned above.

$$\ ... , \ 84, \ 97, \ ...$$

I got a better rule.

21 → [2+1=3] And [21/7=3]
+13
34 → [3+4=7]
+23
57 → [5+7=12→1+2=3] And [57/3=19]
+4
61 → [3+4=7]
+23
84 → [8+4=12→1+2=3] And [84/7=12]
+13
97 → [3+4=7]
+23
120 → [1+2+0=3] And [120/3=40] [Hello checkitagain. ]
+4
124 → [3+4=7]
+23
147 → [1+4+7=12→1+2=3] And [147/7=21]
+13
160 → [3+4=7]
+23
183
...

Rule: if the sum of all characters [digits] of the given number, results in 7 [keep adding the resultant digits until you end up with only one digit] then you add up 23 to the number to get the next in sequence. The other resultant number you may get other than 7, is 3. Here you'll have to add up 4 or 13 to the number. If that same number accepts the division by seven [it should result in an integer quotient] then you'd have to add 13 to get the following number. But if it accepts the division by three, then you add up 4 to the number. As you can see, you don't have to do this calculations all through, just figure the first next in sequence, and then add up 4 or 13 alternatively, of course with 23 in between.

You just can't do this intuitively.

-1, 2, 3, 8, 15, 24, 35, ...

Any takers?

I got a better rule.
(snip)
You just can't do this intuitively.

That's... very twisted! As requested by andre.

I like Serena said:
That's... very twisted! As requested by andre.

Well, couldn't come up with any convincing method other than this.

So, what's yours??

Well, couldn't come up with any convincing method other than this.

So, what's yours??

Well, I was thinking of doing the twist.
So I was thinking left-right-left-right.
So I made 2 sequences from 21, 34, 57, 61.
21-57 and 34-61
First digit goes 3 up, second digit goes 6 up.
And since 4+6=10, summing those digits gives 1.

Next would be 57 + 36 -> (8)(7+6) -> (8)(13) -> 84!

"Come on let's twist again like we did last summer"

QuarkCharmer said:
-1, 2, 3, 8, 15, 24, 35, ...

Any takers?

QuarkCharmer,

I would bet a lot that you have a typo, and that your

-1, 0, 3, 8, 15, 24, 35, ...

In that case, the differences between consecutive
entries are consecutive odd integers.

So 35 + 13 =
$$\boxed{48}$$

## 1. What is the next number in the sequence after 61?

The next number in the sequence after 61 is 62.

## 2. How do you determine the next number in a sequence?

The next number in a sequence can be determined by identifying the pattern or rule of the sequence and applying it to the previous numbers. In this case, the rule may be adding 1 to the previous number.

## 3. Is there only one correct answer for the next number in a sequence?

No, there can be multiple possible answers for the next number in a sequence depending on the pattern or rule identified. In some cases, there may even be no clear pattern and the sequence may be considered open-ended.

## 4. Can there be more than one pattern or rule in a sequence?

Yes, there can be multiple patterns or rules in a sequence, especially in more complex sequences. It is important to identify all possible patterns in order to accurately determine the next number.

## 5. How can understanding sequences be useful in science?

Understanding sequences can be useful in science as it allows for the prediction of future events or observations based on patterns or trends. It can also help in identifying relationships between different data points and making informed decisions based on the sequence of events or data.

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