Good Hard Math?

Question

This is a riddle:

An old man was about to die so he called up his sons. He gave them these numbers: 408, 571, 332, 377, 577, 989, and 664. He told them that there is a pattern. Whoever finds the next number in the sequence will receive his money and household. The other will inherit nothing. Soon one son whispered a number into the man's ear. The man was correct. What was the number.


You won't recieve the money and my house, but you will get best answer if you solve the riddle!

Answer 1

355
:)

Answer 2

Ok..I'm copying someone else's answer.

Set them out like this :

408, 571, 332, 377,
577, 989, 664, . . .

It's the 332 / 664 which is the giveaway. Watch this :

408 * sqrt(2) = 576.9991 . . .
571 * sqrt(3) = 989.0010 . . .
332 * sqrt(4) = 664 exactly
377 * sqrt(5) = 842.9976 . . .

so the answer is 843.

Have a star!!

Answer 3

a million+a million=2 moreover, somebody with a protracted way too lots time on their palms desperate to coach it... "The evidence starts from the Peano Postulates, which define the organic numbers N. N is the smallest set satisfying those postulates: P1. a million is in N. P2. If x is in N, then its "successor" x' is in N. P3. there is not any x such that x' = a million. P4. If x isn't a million, then there's a y in N such that y' = x. P5. If S is a subset of N, a million is in S, and the implication (x in S => x' in S) holds, then S = N. then you definately ought to define addition recursively: Def: permit a and b be in N. If b = a million, then define a + b = a' (using P1 and P2). If b isn't a million, then permit c' = b, with c in N (using P4), and define a + b = (a + c)'. then you definately ought to define 2: Def: 2 = a million' 2 is in N with the help of P1, P2, and the definition of two. Theorem: a million + a million = 2 evidence: Use the 1st area of the definition of + with a = b = a million. Then a million + a million = a million' = 2 Q.E.D. observe: there is yet another formula of the Peano Postulates which replaces a million with 0 in P1, P3, P4, and P5. then you definately ought to alter the definition of addition to this: Def: permit a and b be in N. If b = 0, then define a + b = a. If b isn't 0, then permit c' = b, with c in N, and define a + b = (a + c)'. you moreover could ought to define a million = 0', and a pair of = a million'. Then the evidence of the thought above is a touch distinctive: evidence: Use the 2nd area of the definition of + first: a million + a million = (a million + 0)' Now use the 1st area of the definition of + on the sum in parentheses: a million + a million = (a million)' = a million' = 2 Q.E.D." Wow, he must be a real hit with the ladies...!! :)

Answer 4

The answer may be 300. I reach this conclusion because if you take the list of numbers and place them in a row, then add aup the sum of each column, the units and tens columns each add up to 38, and the hundreds column only adds up to 35. In order to make all the columns add up to the same total the next number has to be 300.

Answer 5

1000

Answer 6

432

Answer 7

Is the next number 827

Answer 8

223

Answer 9

I believe that the number is 709.

Answer 10

i have no idea please do tell me when the Q is resolved because i really want to know!