Find the missing term in series 1,2,3,0,3,8,-1,_,25
Answers
Answer:
6
...............................
Given : 1,2,3,0,3,8,-1,_,25
To Find : the missing term
Solution:
1,2,3,0,3,8,-1,_,25
Terms are group of 3 terms
1 2 2
1¹-0 2¹-0 3¹-0
0 3 8
1²-1 2²-1 3²-1
-1 ? 25
1³-2 2³-2 3³-2
2³-2 = 6
Missing term is 6
Logic is
Terms are 1ⁿ- (n-1) , 2ⁿ- (n-1) , 3ⁿ- (n-1)
where n represent number of set of group of 3
n = 1 , ( 1 , 2 , 3)
n = 2 , ( 0 ,3 , 8)
n = 3 ( -1 , 6 , 25 )
n = 4 (-2 , 13 , 78)
( 1ⁿ- (n-1) , 2ⁿ- (n-1) , 3ⁿ- (n-1) )
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