# Please enter the missing number: 2, 9, 20, 37, 64, 107, ?

0

-107

107

173

174

214

• T(n) = (n+1)^2 + 2^n – 4

= 8^2 + 2^7 – 4

= 188

sorry, it only work up to 64.

edit

2 (7) 9 (11) 20 (17) 37 (27) 64 (43) 107, ?

answer = 107 + 69 = 176

OR

4 (2) 6 (4) 10 (6) 16 (8) 24

d” = 2n

d’ = n(n-1) + 4

7 (4) 11 (6) 17 (10) 27 (16) 43 (24) 67

d’ = n^2 – n + 4

d = n[n^2 + 14]/3 – n^2 + 3

2 (7) 9 (11) 20 (17) 37 (27) 64 (43) 107 (67) {? = 174}

d = n[n^2 + 14]/3 – n^2 + 3

T(n) = n^2(n^2 + 35)/12 – n(n-1)(n+1)/2 – 1

T(7) = 7^2 [7^2 + 35]/12 – 6*7*8/2 – 1

= 7^3 – 7*24 – 1

= 25*7 – 1

= 174

T(n) = n^2(n^2 + 35)/12 – n(n^2 – 1)/2 – 1

• 2, 9, 20, 37, 64, 107, ?

-107

107

173

174

214

We know that the sequence is ascending, so -107 and 107 can be crossed out, leaving you 173, 174, 214. Seeing how the order increases slightly each time I would take an educated guess that 214 is also incorrect.

Leaving you with 173 or 174. In the last three numbers, the ending numbers are 7, 4, and 7. I know this isn’t the best way to pick an answer but since 174 ends with a 4, I would take an educated guess and choose 174.

2, 9, 20, 37, 64, 107, 174

• All the answers are wrong, not explained or too confusing. The solution is easier.

2+9+9 = 20

9+20+8 = 37

20+37+7=64

37+64+6=107

64+107+5=176

First of all, 2 +7= 9, 9+11=17, 20+17=37, 37+27= 64, 64+ 43= 107, 107 + “67”= 174.

That is the pattern I got.

I used finite differences.

First difference Second Difference

2 7 4 +2

9 11 6 +4

20 17 10 +6

37 27 16 +8

64 43 ?=24

107 ?=67

?=174

• 174

• 174

• 5-9-17-37-64

• 2 is prime, 9 is perfect root, 20 is a multiple, 37 is prime, 64 is perfect root, 107 prime… idk..find a pattern there somewhere??

sorry.

• the computations that I calculated have an answer of 176.

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