answer options
-107
107
173
174
214
11 Answers
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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(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
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
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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
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174
-
174
-
the answer is 174
-
5-9-17-37-64
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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.
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the computations that I calculated have an answer of 176.