answer options
107
107
173
174
214
11 Answers

T(n) = (n+1)^2 + 2^n – 4
so answer = T(7)
= 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(n1) + 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(n1)(n+1)/2 – 1
answer = T(7) = 174
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, ?
answer options
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

The answer is 174.
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

the answer is 174

59173764

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.