Number series

[Saumyojit]

Another one

51,77, 175, 250, 279,?

Options
313, 413, 512, 616

 

[lex]

look at the differences and think about square numbers

 

[Saumyojit]

look at the differences and think about square numbers

Difference are 26,98,75,29

 

[lex]

Yes. Write out a list of square numbers and then see if you can make the differences from the square numbers.

 

[Dr.Peterson]

Yes. Write out a list of square numbers and then see if you can make the differences from the square numbers.


View attachment 27521

Don't forget that these puzzles sometimes involve digits.

 

[lex]

Don't forget that these puzzles sometimes involve digits.

Yes, that's what I am hoping the OP will see by looking at the differences and the list of square numbers.

 

[Saumyojit]

Yes. Write out a list of square numbers and then see if you can make the differences from the square numbers.


View attachment 27521

List of square nos Will be what?

 

[lex]

1, 4 , 9, 16, 25, 36, 49, 64, ...

 

[Saumyojit]

1, 4 , 9, 16, 25, 36, 49, 64, ...

I know that but the difference is
26, 98, 75, 29

So, what is the relevance of square nos with cd.
26=5^2+1

98=10^2-2 ...

75= 8^2+ 11
Or
9^2-6 ..
U are saying something this?

 

[lex]

I know that but the difference is
26, 98, 75, 29

So, what is the relevance of square nos with cd.

[MATH]26 = 5^2 + 1^2\\ 98 = 7^2 + 7^2\\ 75 = 1^2+7^2+5^2\\ 29= 2^2 + 5^2+0^2[/MATH]

 

[Dr.Peterson]

Yes, that's what I am hoping the OP will see by looking at the differences and the list of square numbers.

Yes, and it took me long enough to think in this direction, so I figured a little extra hint might be needed ... as it was.

 

[Saumyojit]

View attachment 27533

[MATH]26 = 5^2 + 1^2\\ 98 = 7^2 + 7^2\\ 75 = 1^2+7^2+5^2\\ 29= 2^2 + 5^2+0^2[/MATH]

Okay . but Did you found any pattern.

 

[JeffM]

My goodness, these puzzles are so stupid!

 

[Saumyojit]

Okay . but Did you found any pattern.

Okay now I got I need to divide such that it matches with the digits of the terms.
Wow what a sum.

It never came to mind after finding out the common difference I need to divide each Cd into sum of squares which will be matching with the digits of the original term.


Brilliant lex.

 

[JeffM]

Okay now I got I need to divide such that it matches with the digits of the terms.
Wow what a sum.

It never came to mind after finding out the common difference I need to divide each Cd into sum of squares which will be matching with the digits of the original term.


Brilliant lex.

But what lex found may not be what the puzzle maker had in mind. I agree that lex was clever. But that clever answer may get you a bad mark. Please stop wasting your time on this foolishness.

 

[lex]

Yes, and it took me long enough to think in this direction, so I figured a little extra hint might be needed ... as it was.

Clearly!

Okay now I got I need to divide such that it matches with the digits of the terms.

Yes, but, on my part it was not so brilliant. That's just one of the common things puzzle mind-readers are supposed to look out for - summing the digits, or squaring the digits...

Please stop wasting your time on this foolishness.

I suspect you won't be publishing your first book of these puzzles anytime soon!

 

[JeffM]

LOL. No

 

[Saumyojit]

But what lex found may not be what the puzzle maker had in mind. I agree that lex was clever. But that clever answer may get you a bad mark. Please stop wasting your time on this foolishness.

No, the answr is correct.


There's another number series
2,2,5 ,15.5 , ?, 267.125


Options:

58.25
65.25
56.25
62.25

 

[lex]

[MATH]a_1=2\\ a_2=1\times\frac{a_1}{2} + 1\\ a_3=3 \times \frac{a_2}{2}+2\\ a_4=5 \times \frac{a_3}{2}+3\\ ...\\ a_{n+1}=(2n-1) \times \frac{a_n}{2}+n\\[/MATH]
oh - and by the way, I googled it!

 

[Deleted member 4993]

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