**Next Number In The Series Hardest - 10 April**

What is the next number in this series?

6, 14, 36, 98, 276, ?

**For Solution :**Click Here

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What is the next number in this series?

6, 14, 36, 98, 276, ?

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Difficulty level 5/5,
Series Puzzles

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Mind boggling one :) had to think hard..here goes

ReplyDelete1+2+3=6

1+4+9=14

1+8+27=36

1+16+81=98

1+32+243=276

1+64+729=794

answer=794

794

ReplyDelete794

ReplyDelete794

ReplyDeleteThe nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n.

Thus the first term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6,

the second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14,

and so on.

The sixth term is then 1^6 + 2^6 + 3^6 = 1 + 64 + 729 = 794.

Nerd T.T

Deletehttp://i.imgur.com/bGqJFQP.png

DeleteJack, your expression in the picture is poorly done, since the summation uses the same symbol, n, as the other terms, which are not subject to the summation.

Delete- 73

ReplyDelete8112.

ReplyDeleteTHE SEQUENCE:

6= 6

14= 1 4

36= 3 6

98= 9 8

276= 27 6

SO, 81 12

794

ReplyDeleteanother method is :

ReplyDelete14=6*2+2 and this 2 is 6-4. Note down this 4.

36=14*2+8 and this 8 is 14-6. Note down this 6.

98=36*2+26 and this 26 is 26-10. Note down this 10.

276=98*2+80 and this 80 is 98-18. Note down this 18.

So a series has been formed 4,6,10,18 and hence next number will be 34.

So the answer will be 276*2+(276-34)=794

huh

ReplyDeletei dont get it

ReplyDeleteEveryone got fooled. That was a trick question. There is no next number. That was the last one

ReplyDelete432 i think.. :)

ReplyDeleteMy explaination:

ReplyDelete6 : 1 = 6 >> 6 x 6 = 36 >> third number

14 : 2 = 7 >> 7 x 14 = 98 >> fourth number

so, the sisth numbel will be..

36 : 3 = 12 >> 12 x 36 = 432

errrr,hmmmmm

ReplyDeleteWHY ARE YOU ASKING ME THIS QUESTION.

I AM NOT EVEN IN YEAR 5 YET

*Hint I am not lower than year 3

6*2+2=14

ReplyDelete14*2+8=36

36*2+26=98

98*2+80=276

276*2+242=794

every two week is 14 days,every month is more or less 36 days

ReplyDeleteevey season is more or less 98 days,every year is more or less 276 so the answer is number of days for 2 years that is more or less 794 days!

............no it's not. A year is not 276 days.

DeleteThis comment has been removed by the author.

ReplyDeleteHi I in elementary schol and I awnser that question correctly, every question correctly. I dont know about you, but I know. I know.

ReplyDeleteIf you're so good in math, then perhaps you should spend more time with your English spelling and grammar ...

Delete6, 14, 36, 98, 276

ReplyDelete14 - 6 - 8 8 x 3 = 24 24 - 2 - 22 22+14 = 36

36 - 14 - 22 22 x 3 = 66 66 - 4 = 62 62 + 36 = 98

98 - 36 - 62 62 x 3 = 186 186 - 8 = 178 178 + 98 = 276

276 - 98 - 178 178 x 3 = 534 534 - 16 = 518 518 + 276 = 794

What is the next number in this series

ReplyDelete17, 19, 23, 29, ?

A.31

B.33

C.35

D.39

Wow, that's a really hard one. I'd have to guess ...

DeleteI do know that the prime numbers between 2 and 99, inclusive, are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

(3*2)(7*2)(18*2)(49*2)(138*2)

ReplyDelete(7-3=4)(18-7=11)(49-18=31)(138-48=89)

(4*3-1)(11*3-2)(31*3-4)(89*3-8=259)

So the next term will be (138 +259)*2=794

Hence the sequence will be

3*2=6,7*2=14,18*2=36,49*2=98,138*2=276,

397*2=794.

What is next in series 3,9,37,94,273

ReplyDeleteEach number in the series is the sum of 1^n, 2^n, and 3^n, where n is the position in the sequence. Nn = 1^n + 2^n + 3^n.

ReplyDeleteThe problem would have been harder if the series began with 3.

An alternate solution is:

DeleteNn=[(n-2)*(n-3)*(n-4)*(n-5)/24]*6

+[(n-1)*(n-3)*(n-4)*(n-5)/-6]*14

+[(n-1)*(n-2)*(n-4)*(n-5)/4]*36

+[(n-1)*(n-2)*(n-3)*(n-5)/-6]*98

+[(n-1)*(n-2)*(n-3)*(n-4)/24]*276

For n=6, it yields 696.

Please solve this....What is next in series 3,9,37,94,273

Delete