arithmetic

Which number should come next in this series?

25,24,22,19,15

A. 4 B. 5 C. 10 D. 14

#MathProblem #Math

Note by Pryhant Kielh
7 years, 8 months ago

No vote yet
4 votes

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Comments

Although the intended answer here is CC, you should know that there is no correct answer to this. I could easily say the answer is BB.

You can ask me why. Well, my explanation is: the nthn ^{th} term of this sequence is f(n)f(n) where f(n)=n515n4+85n3213n2+262n72024.f(n)=-\frac{n^5-15n^4+85n^3-213n^2+262n-720}{24}.Plug in n=1,2,3,4,5n=1, 2, 3, 4, 5 and get f(n)=25,24,22,19,15f(n)= 25, 24, 22, 19, 15 [your sequence]. Plug in n=6n=6 and you'll get f(n)=5f(n)=5. So, BB is a perfectly valid answer.

I know that this is not the answer you want and you're probably getting angry at me right now! What I'm trying to say is there's no correct answer.

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Mursalin Habib - 7 years, 8 months ago

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How did u get this f(n)

Tushar gautam - 7 years, 8 months ago

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why was that comment deleted i wrote in it that tushar is a cheater who cheats from many id's and has atleast 20 ids on brillaint

Iitian Singh - 7 years, 8 months ago

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@Iitian Singh Tushar's many accounts have been banned. Please in the future email me at discussions@brilliant.org to report cheating. I deleted the comment because, I thought it distracted from the point Mursalin was trying to make.

Peter Taylor Staff - 7 years, 8 months ago

I used Lagrange interpolation. But this is not the only way.

For example: you could add (n1)(n2)(n3)(n4)(n5)(n-1)(n-2)(n-3)(n-4)(n-5) to the polynomial to get a different value for the sixth term.

This way you can practically get anything (even complex numbers) for the sixth term!

Mursalin Habib - 7 years, 8 months ago

The nthn^{th} term of this series is An=An1nA_{n}=A_{n-1}-n where 2525 is the 0th0th term; hence the 5th5^{th} term which is what your looking for is A5=A45A_{5}=A_{4}-5. Therefore A5=155A_{5}=15-5 which is 1010 hence the answer is CC.

Joel Jablonski - 7 years, 8 months ago

10, because 25-1=24, 24-2=22,22-3=19,19-4=15, so 15-5=10

tiara yosephine - 6 years, 7 months ago

10

Rahul Sharma - 6 years, 4 months ago

10

Abu Taher - 5 years, 9 months ago

we can do this in this way to: here consecutive nos are being subtracted.i from 25 then 2 from 24 and then 3 from 22 and so on..........

so the ultimate answer is 15-5(as it is the 5th term in sequence)=10 (c)

yash gupta - 7 years, 8 months ago

C,10

Nasir Mehmood Alam - 7 years, 8 months ago

Well, It is necessary to ask you what part of Mathematics is it after we will conclude an answer.

Jeffer Dave Cagubcob - 7 years, 8 months ago

10

Anubhav Singh - 7 years, 8 months ago

c

mounika pokala - 7 years, 8 months ago

It's C. 10

Brij Rokad - 7 years, 8 months ago
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