The given number series is 9 7 10 6 11 ?
Here in this we have two number sequences, they are
9, 10, 11, ... and 7, 6, 5, ...
Hence, the next number in the given number series is 6 - 1 = 5.
The given number series is 21 56 102 160 231 316
21 56 102 160 231 316 416
+35 +46 +58 +71 +85 +100
+11 +12 +13 +14 +15
Hence, the next number in the given number series is 316 + 100 = 416.
The series is a b c c a b | b c a a b c | a b c c a b
Here, the pattern a b c c a b | b c a a b c is repeated alternatively.
The first letter moves 1, 2, 3, ... steps forward.
The second letter moves 2, 3, 4, ... steps forward
The terms of the given series are 3*(1*1),3*(2*2),3*(3*3),3*(4*4), . . . .
So,missing term is 3*(6*6)=108
The pattern is +12,+24,+36,+48, . . . .
So,missing term=78+48=126
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