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### Next Number In The Series Hardest

Next Number In The Series Hardest - 10 April

What is the next number in this series?
6, 14, 36, 98, 276, ?

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

1+2+3=6
1+4+9=14
1+8+27=36
1+16+81=98
1+32+243=276
1+64+729=794

2. 794

The 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.

1. http://i.imgur.com/bGqJFQP.png

2. Jack, 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.

3. 8112.
THE SEQUENCE:
6= 6
14= 1 4
36= 3 6
98= 9 8
276= 27 6
SO, 81 12

4. another method is :
14=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

5. i dont get it

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

7. 432 i think.. :)

8. My explaination:

6 : 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

9. errrr,hmmmmm

WHY ARE YOU ASKING ME THIS QUESTION.
I AM NOT EVEN IN YEAR 5 YET

*Hint I am not lower than year 3

10. 6*2+2=14
14*2+8=36
36*2+26=98
98*2+80=276
276*2+242=794

11. every two week is 14 days,every month is more or less 36 days
evey 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!

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

12. This comment has been removed by the author.

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

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

14. 6, 14, 36, 98, 276
14 - 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

15. What is the next number in this series
17, 19, 23, 29, ?
A.31
B.33
C.35
D.39

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

16. (3*2)(7*2)(18*2)(49*2)(138*2)

(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.

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

18. Each 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.
The problem would have been harder if the series began with 3.

1. An alternate solution is:
Nn=[(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.

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